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230488647070416 = 24377322027426611
BaseRepresentation
bin110100011010000011010001…
…111011101111001011010000
31010020002111111002222221200120
4310122003101323233023100
5220202311222122223131
62134113004523150240
766356153353412340
oct6432032173571320
91106074432887616
10230488647070416
1167493760498869
1221a262b1675380
139b7bca8780a87
1440cb9d24d2d20
151b9a812e45496
hexd1a0d1eef2d0

230488647070416 has 160 divisors (see below), whose sum is σ = 689845009855488. Its totient is φ = 64948689976320.

The previous prime is 230488647070393. The next prime is 230488647070439. The reversal of 230488647070416 is 614070746884032.

230488647070416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230488647070393) and next prime (230488647070439).

It is a super-2 number, since 2×2304886470704162 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230488647070416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540064951 + ... + 540491561.

Almost surely, 2230488647070416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230488647070416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344922504927744).

230488647070416 is an abundant number, since it is smaller than the sum of its proper divisors (459356362785072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230488647070416 is a wasteful number, since it uses less digits than its factorization.

230488647070416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448729 (or 448723 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 230488647070416 in words is "two hundred thirty trillion, four hundred eighty-eight billion, six hundred forty-seven million, seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 22027 24528 44054 66081 88108 132162 154189 176216 264324 308378 352432 426611 462567 528648 616756 853222 925134 1057296 1233512 1279833 1607971 1706444 1850268 2467024 2559666 2986277 3215942 3412888 3700536 4823913 5119332 5972554 6431884 6825776 7401072 8958831 9647826 10238664 11255797 11945108 12863768 17917662 19295652 20477328 22511594 23890216 25727536 31142603 33767391 35835324 38591304 45023188 47780432 62285206 67534782 71670648 77182608 90046376 93427809 124570412 135069564 143341296 180092752 186855618 217998221 249140824 270139128 373711236 435996442 498281648 540278256 653994663 747422472 871992884 1307989326 1494844944 1743985768 2615978652 3487971536 5231957304 9396960497 10463914608 18793920994 28190881491 37587841988 56381762982 65778723479 75175683976 112763525964 131557446958 150351367952 197336170437 225527051928 263114893916 394672340874 451054103856 526229787832 685978116281 789344681748 1052459575664 1371956232562 1578689363496 2057934348843 2743912465124 3157378726992 4115868697686 4801846813967 5487824930248 8231737395372 9603693627934 10975649860496 14405540441901 16463474790744 19207387255868 28811080883802 32926949581488 38414774511736 57622161767604 76829549023472 115244323535208 230488647070416