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225480029472 = 2532782916769
BaseRepresentation
bin1101000111111110101…
…0000011010100100000
3210120000002110021221200
43101333222003110200
512143240341420342
6251330055321200
722201414425135
oct3217752032440
9716002407850
10225480029472
11876976644a5
1237848980200
13183551378a9
14acb010258c
155cea36794c
hex347fa83520

225480029472 has 36 divisors (see below), whose sum is σ = 641208834630. Its totient is φ = 75160009728.

The previous prime is 225480029417. The next prime is 225480029479. The reversal of 225480029472 is 274920084522.

It can be written as a sum of positive squares in only one way, i.e., 124104016656 + 101376012816 = 352284^2 + 318396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (225480029479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391458097 + ... + 391458672.

Almost surely, 2225480029472 is an apocalyptic number.

It is an amenable number.

225480029472 is an abundant number, since it is smaller than the sum of its proper divisors (415728805158).

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

225480029472 is a wasteful number, since it uses less digits than its factorization.

225480029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782916785 (or 782916774 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 225480029472 in words is "two hundred twenty-five billion, four hundred eighty million, twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 782916769 1565833538 2348750307 3131667076 4697500614 6263334152 7046250921 9395001228 12526668304 14092501842 18790002456 25053336608 28185003684 37580004912 56370007368 75160009824 112740014736 225480029472