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10227932288 = 277212772
BaseRepresentation
bin10011000011010000…
…11101110010000000
3222101210122210102222
421201220131302000
5131421322313123
64410524030212
7511312663400
oct114150356200
928353583388
1010227932288
114379445a02
121b95392368
13c6cca4552
146d0536800
153ecdd36c8
hex261a1dc80

10227932288 has 72 divisors (see below), whose sum is σ = 23721221745. Its totient is φ = 4379966976.

The previous prime is 10227932287. The next prime is 10227932317. The reversal of 10227932288 is 88223972201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9969623104 + 258309184 = 99848^2 + 16072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71512.

It is a super-2 number, since 2×102279322882 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10227932287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8008706 + ... + 8009982.

Almost surely, 210227932288 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 10227932288

10227932288 is an abundant number, since it is smaller than the sum of its proper divisors (13493289457).

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

10227932288 is an frugal number, since it uses more digits than its factorization.

10227932288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10227932288 in words is "ten billion, two hundred twenty-seven million, nine hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1277 1568 2554 3136 5108 6272 8939 10216 17878 20432 35756 40864 62573 71512 81728 125146 143024 163456 250292 286048 500584 572096 1001168 1144192 1630729 2002336 3261458 4004672 6522916 8009344 11415103 13045832 22830206 26091664 45660412 52183328 79905721 91320824 104366656 159811442 182641648 208733312 319622884 365283296 639245768 730566592 1278491536 1461133184 2556983072 5113966144 10227932288