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102226851840 = 211353327697
BaseRepresentation
bin101111100110100110…
…0011111100000000000
3100202212100212010200210
41133031030133200000
53133330033224330
6114543512114120
710246163621631
oct1371514374000
9322770763623
10102226851840
113a399435923
121798b695940
139841c83159
144d3aacb888
1529d49ac8b0
hex17cd31f800

102226851840 has 96 divisors (see below), whose sum is σ = 327046159440. Its totient is φ = 27260485632.

The previous prime is 102226851833. The next prime is 102226851851. The reversal of 102226851840 is 48158622201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1022268518402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633129 + ... + 1694568.

Almost surely, 2102226851840 is an apocalyptic number.

102226851840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102226851840 is an abundant number, since it is smaller than the sum of its proper divisors (224819307600).

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

102226851840 is an equidigital number, since it uses as much as digits as its factorization.

102226851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327727 (or 3327707 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 102226851840 in words is "one hundred two billion, two hundred twenty-six million, eight hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 3327697 6655394 9983091 13310788 16638485 19966182 26621576 33276970 39932364 49915455 53243152 66553940 79864728 99830910 106486304 133107880 159729456 199661820 212972608 266215760 319458912 399323640 425945216 532431520 638917824 798647280 851890432 1064863040 1277835648 1597294560 1703780864 2129726080 2555671296 3194589120 3407561728 4259452160 5111342592 6389178240 6815123456 8518904320 10222685184 12778356480 17037808640 20445370368 25556712960 34075617280 51113425920 102226851840