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225156435152 = 24112355621649
BaseRepresentation
bin1101000110110001011…
…1101000110011010000
3210112011112112222222212
43101230113220303100
512142110021411102
6251234015451252
722160405056355
oct3215427506320
9715145488885
10225156435152
1187540a35280
1237778526b28
131830309866c
14ac7d14a62c
155ccbc47c52
hex346c5e8cd0

225156435152 has 40 divisors (see below), whose sum is σ = 496590091200. Its totient is φ = 97894100480.

The previous prime is 225156435151. The next prime is 225156435193. The reversal of 225156435152 is 251534651522.

It is a super-3 number, since 3×2251564351523 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225156435151) 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, 27806777 + ... + 27814872.

It is an arithmetic number, because the mean of its divisors is an integer number (12414752280).

Almost surely, 2225156435152 is an apocalyptic number.

225156435152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225156435152 is an abundant number, since it is smaller than the sum of its proper divisors (271433656048).

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

225156435152 is a wasteful number, since it uses less digits than its factorization.

225156435152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55621691 (or 55621685 counting only the distinct ones).

The product of its digits is 360000, while the sum is 41.

The spelling of 225156435152 in words is "two hundred twenty-five billion, one hundred fifty-six million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 55621649 111243298 222486596 444973192 611838139 889946384 1223676278 1279297927 2447352556 2558595854 4894705112 5117191708 9789410224 10234383416 14072277197 20468766832 28144554394 56289108788 112578217576 225156435152