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225002126560 = 2554013506891
BaseRepresentation
bin1101000110001100101…
…0111111110011100000
3210111202210012022101211
43101203022333303200
512141301021022220
6251210424235504
722153522343161
oct3214312776340
9714683168354
10225002126560
118747191aa12
123773490bb94
13182aa11b5c3
14ac6685d768
155cbd416b5a
hex34632bfce0

225002126560 has 48 divisors (see below), whose sum is σ = 532893280752. Its totient is φ = 89776384000.

The previous prime is 225002126543. The next prime is 225002126563. The reversal of 225002126560 is 65621200522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225002126563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1689286 + ... + 1817605.

It is an arithmetic number, because the mean of its divisors is an integer number (11101943349).

Almost surely, 2225002126560 is an apocalyptic number.

225002126560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225002126560 is an abundant number, since it is smaller than the sum of its proper divisors (307891154192).

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

225002126560 is a wasteful number, since it uses less digits than its factorization.

225002126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507307 (or 3507299 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 225002126560 in words is "two hundred twenty-five billion, two million, one hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 401 802 1604 2005 3208 4010 6416 8020 12832 16040 32080 64160 3506891 7013782 14027564 17534455 28055128 35068910 56110256 70137820 112220512 140275640 280551280 561102560 1406263291 2812526582 5625053164 7031316455 11250106328 14062632910 22500212656 28125265820 45000425312 56250531640 112501063280 225002126560