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997755330 = 23511131713681
BaseRepresentation
bin111011011110001…
…000100111000010
32120112110020000010
4323132020213002
54020411132310
6243001205350
733503531445
oct7336104702
92515406003
10997755330
11472230390
1223a190856
1312b932590
149672565c
155c8db320
hex3b7889c2

997755330 has 128 divisors (see below), whose sum is σ = 2978954496. Its totient is φ = 210124800.

The previous prime is 997755329. The next prime is 997755331. The reversal of 997755330 is 33557799.

997755330 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 (997755329) and next prime (997755331).

It is a super-3 number, since 3×9977553303 (a number of 28 digits) contains 333 as substring.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 997755330.

It is not an unprimeable number, because it can be changed into a prime (997755331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66090 + ... + 79770.

It is an arithmetic number, because the mean of its divisors is an integer number (23273082).

Almost surely, 2997755330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997755330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489477248).

997755330 is an abundant number, since it is smaller than the sum of its proper divisors (1981199166).

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

997755330 is a wasteful number, since it uses less digits than its factorization.

997755330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732.

The product of its (nonzero) digits is 893025, while the sum is 48.

The square root of 997755330 is about 31587.2653137305. The cubic root of 997755330 is about 999.2512161293.

The spelling of 997755330 in words is "nine hundred ninety-seven million, seven hundred fifty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 17 22 26 30 33 34 39 51 55 65 66 78 85 102 110 130 143 165 170 187 195 221 255 286 330 374 390 429 442 510 561 663 715 858 935 1105 1122 1326 1430 1870 2145 2210 2431 2805 3315 4290 4862 5610 6630 7293 12155 13681 14586 24310 27362 36465 41043 68405 72930 82086 136810 150491 177853 205215 232577 300982 355706 410430 451473 465154 533559 697731 752455 889265 902946 1067118 1162885 1395462 1504910 1778530 1956383 2257365 2325770 2558347 2667795 3023501 3488655 3912766 4514730 5116694 5335590 5869149 6047002 6977310 7675041 9070503 9781915 11738298 12791735 15117505 15350082 18141006 19563830 25583470 29345745 30235010 33258511 38375205 45352515 58691490 66517022 76750410 90705030 99775533 166292555 199551066 332585110 498877665 997755330