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221210303242440 = 233533123251239527
BaseRepresentation
bin110010010011000010001001…
…100010111010000011001000
31002000020111110101011121202110
4302103002021202322003020
5212443302200112224230
62102250335502302320
764410626350220241
oct6223021142720310
91060214411147673
10221210303242440
116453684326aa76
1220988056b879a0
13965807160c675
143c8a8c8907cc8
151a892c341d4b0
hexc930898ba0c8

221210303242440 has 128 divisors (see below), whose sum is σ = 665667244293120. Its totient is φ = 58808423520000.

The previous prime is 221210303242429. The next prime is 221210303242633. The reversal of 221210303242440 is 44242303012122.

It is a super-2 number, since 2×2212103032424402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221210303242398 and 221210303242407.

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, 923409957 + ... + 923649483.

It is an arithmetic number, because the mean of its divisors is an integer number (5200525346040).

Almost surely, 2221210303242440 is an apocalyptic number.

221210303242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210303242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332833622146560).

221210303242440 is an abundant number, since it is smaller than the sum of its proper divisors (444456941050680).

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

221210303242440 is a wasteful number, since it uses less digits than its factorization.

221210303242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263123 (or 263119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 221210303242440 its reverse (44242303012122), we get a palindrome (265452606254562).

The spelling of 221210303242440 in words is "two hundred twenty-one trillion, two hundred ten billion, three hundred three million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 23251 39720 46502 69753 93004 116255 139506 186008 232510 239527 279012 348765 465020 479054 558024 697530 718581 930040 958108 1197635 1395060 1437162 1916216 2395270 2790120 2874324 3592905 4790540 5748648 7185810 7696081 9581080 14371620 15392162 23088243 28743240 30784324 38480405 46176486 61568648 76960810 79283437 92352972 115441215 153921620 158566874 184705944 230882430 237850311 307843240 317133748 396417185 461764860 475700622 634267496 792834370 923529720 951401244 1189251555 1585668740 1902802488 2378503110 3171337480 4757006220 5569242277 9514012440 11138484554 16707726831 22276969108 27846211385 33415453662 44553938216 55692422770 66830907324 83538634155 111384845540 133661814648 167077268310 222769691080 334154536620 668309073240 1843419193687 3686838387374 5530257581061 7373676774748 9217095968435 11060515162122 14747353549496 18434191936870 22121030324244 27651287905305 36868383873740 44242060648488 55302575810610 73736767747480 110605151621220 221210303242440