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10225535232 = 283111210409
BaseRepresentation
bin10011000010111110…
…10100100100000000
3222101122011000022010
421201133110210000
5131420214111412
64410400412520
7511253421033
oct114137244400
928348130263
1010225535232
114378058a70
121b94617140
13c6c645483
146d00b101a
153ecaad33c
hex2617d4900

10225535232 has 72 divisors (see below), whose sum is σ = 29688936480. Its totient is φ = 3098644480.

The previous prime is 10225535209. The next prime is 10225535237. The reversal of 10225535232 is 23253552201.

It is a self number, because there is not a number n which added to its sum of digits gives 10225535232.

It is not an unprimeable number, because it can be changed into a prime (10225535237) 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 7 ways as a sum of consecutive naturals, for example, 596757 + ... + 613652.

It is an arithmetic number, because the mean of its divisors is an integer number (412346340).

Almost surely, 210225535232 is an apocalyptic number.

10225535232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10225535232 is an abundant number, since it is smaller than the sum of its proper divisors (19463401248).

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

10225535232 is a wasteful number, since it uses less digits than its factorization.

10225535232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210439 (or 1210425 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10225535232 in words is "ten billion, two hundred twenty-five million, five hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 1210409 2420818 3631227 4841636 7262454 9683272 13314499 14524908 19366544 26628998 29049816 38733088 39943497 53257996 58099632 77466176 79886994 106515992 116199264 154932352 159773988 213031984 232398528 309864704 319547976 426063968 464797056 639095952 852127936 929594112 1278191904 1704255872 2556383808 3408511744 5112767616 10225535232