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10224225920 = 27515975353
BaseRepresentation
bin10011000010110100…
…10100111010000000
3222101112200111021002
421201122110322000
5131414400212140
64410312351132
7511236325556
oct114132247200
928345614232
1010224225920
114377344297
121b940a54a8
13c6c2a752c
146cdc4dbd6
153ec900415
hex261694e80

10224225920 has 32 divisors (see below), whose sum is σ = 24442291620. Its totient is φ = 4089690112.

The previous prime is 10224225889. The next prime is 10224225931. The reversal of 10224225920 is 2952242201.

It can be written as a sum of positive squares in 2 ways, for example, as 8583651904 + 1640574016 = 92648^2 + 40504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7987037 + ... + 7988316.

Almost surely, 210224225920 is an apocalyptic number.

10224225920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224225920 is an abundant number, since it is smaller than the sum of its proper divisors (14218065700).

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

10224225920 is an equidigital number, since it uses as much as digits as its factorization.

10224225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975372 (or 15975360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10224225920 in words is "ten billion, two hundred twenty-four million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 15975353 31950706 63901412 79876765 127802824 159753530 255605648 319507060 511211296 639014120 1022422592 1278028240 2044845184 2556056480 5112112960 10224225920