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225154125252 = 22337242546131
BaseRepresentation
bin1101000110110000111…
…0110100110111000100
3210112011101012122102000
43101230032310313010
512142103424002002
6251233454145300
722160346326100
oct3215416646704
9715141178360
10225154125252
118753a6a7871
12377777b2230
131830276a164
14ac7cb08900
155ccb93d61c
hex346c3b4dc4

225154125252 has 72 divisors (see below), whose sum is σ = 679036266720. Its totient is φ = 64329748560.

The previous prime is 225154125191. The next prime is 225154125281. The reversal of 225154125252 is 252521451522.

225154125252 is a `hidden beast` number, since 2 + 2 + 515 + 41 + 2 + 52 + 52 = 666.

225154125252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21267774 + ... + 21278357.

It is an arithmetic number, because the mean of its divisors is an integer number (9431059260).

Almost surely, 2225154125252 is an apocalyptic number.

It is an amenable number.

225154125252 is an abundant number, since it is smaller than the sum of its proper divisors (453882141468).

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

225154125252 is a wasteful number, since it uses less digits than its factorization.

225154125252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42546158 (or 42546143 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

Adding to 225154125252 its reverse (252521451522), we get a palindrome (477675576774).

The spelling of 225154125252 in words is "two hundred twenty-five billion, one hundred fifty-four million, one hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 42546131 85092262 127638393 170184524 255276786 297822917 382915179 510553572 595645834 765830358 893468751 1148745537 1191291668 1531660716 1786937502 2084760419 2297491074 2680406253 3573875004 4169520838 4594982148 5360812506 6254281257 8041218759 8339041676 10721625012 12508562514 16082437518 18762843771 25017125028 32164875036 37525687542 56288531313 75051375084 112577062626 225154125252