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10225932408 = 2332379374741
BaseRepresentation
bin10011000011000001…
…10101100001111000
3222101122220012010100
421201200311201320
5131420314314113
64410413115400
7511256664006
oct114140654170
928348805110
1010225932408
1143782aa40a
121b94788b60
13c6c7541a3
146d0175a76
153ecb3ad73
hex261835878

10225932408 has 48 divisors (see below), whose sum is σ = 27768382200. Its totient is φ = 3399641280.

The previous prime is 10225932403. The next prime is 10225932427. The reversal of 10225932408 is 80423952201.

It is a happy number.

10225932408 is a `hidden beast` number, since 1 + 0 + 22 + 593 + 2 + 40 + 8 = 666.

It is a super-2 number, since 2×102259324082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225932403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160083 + ... + 214658.

Almost surely, 210225932408 is an apocalyptic number.

10225932408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10225932408 is an abundant number, since it is smaller than the sum of its proper divisors (17542449792).

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

10225932408 is a wasteful number, since it uses less digits than its factorization.

10225932408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375132 (or 375125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10225932408 in words is "ten billion, two hundred twenty-five million, nine hundred thirty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 379 758 1137 1516 2274 3032 3411 4548 6822 9096 13644 27288 374741 749482 1124223 1498964 2248446 2997928 3372669 4496892 6745338 8993784 13490676 26981352 142026839 284053678 426080517 568107356 852161034 1136214712 1278241551 1704322068 2556483102 3408644136 5112966204 10225932408