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225195971958 = 23316724971831
BaseRepresentation
bin1101000110111010111…
…0011101010101110110
3210112021021221200022000
43101232232131111312
512142200132100313
6251241551120130
722161365115126
oct3215656352566
9715237850260
10225195971958
1187561289921
1237789813046
131830b32c419
14ac844bcc86
155cd0457673
hex346eb9d576

225195971958 has 32 divisors (see below), whose sum is σ = 503432133120. Its totient is φ = 74615828040.

The previous prime is 225195971933. The next prime is 225195971981. The reversal of 225195971958 is 859179591522.

225195971958 is a `hidden beast` number, since 2 + 2 + 519 + 59 + 7 + 19 + 58 = 666.

It is a super-2 number, since 2×2251959719582 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225195971895 and 225195971904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12476898 + ... + 12494933.

It is an arithmetic number, because the mean of its divisors is an integer number (15732254160).

Almost surely, 2225195971958 is an apocalyptic number.

225195971958 is an abundant number, since it is smaller than the sum of its proper divisors (278236161162).

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

225195971958 is a wasteful number, since it uses less digits than its factorization.

225195971958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972009 (or 24972003 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 63.

The spelling of 225195971958 in words is "two hundred twenty-five billion, one hundred ninety-five million, nine hundred seventy-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 167 334 501 1002 1503 3006 4509 9018 24971831 49943662 74915493 149830986 224746479 449492958 674239437 1348478874 4170295777 8340591554 12510887331 25021774662 37532661993 75065323986 112597985979 225195971958