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225074376 = 233638593
BaseRepresentation
bin11010110101001…
…01110011001000
3120200111222000000
431122211303020
5430104340001
634200043000
75402046342
oct1532456310
9520458000
10225074376
1110605978a
1263463460
1337826307
1421c6c292
1514b5da86
hexd6a5cc8

225074376 has 56 divisors (see below), whose sum is σ = 632748630. Its totient is φ = 75022848.

The previous prime is 225074371. The next prime is 225074387. The reversal of 225074376 is 673470522.

It is a happy number.

225074376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175032900 + 50041476 = 13230^2 + 7074^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 225074376.

It is not an unprimeable number, because it can be changed into a prime (225074371) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 13465 + ... + 25128.

Almost surely, 2225074376 is an apocalyptic number.

It is an amenable number.

225074376 is an abundant number, since it is smaller than the sum of its proper divisors (407674254).

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

225074376 is an equidigital number, since it uses as much as digits as its factorization.

225074376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38617 (or 38598 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 225074376 is about 15002.4789951528. The cubic root of 225074376 is about 608.2872099306.

The spelling of 225074376 in words is "two hundred twenty-five million, seventy-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 38593 77186 115779 154372 231558 308744 347337 463116 694674 926232 1042011 1389348 2084022 2778696 3126033 4168044 6252066 8336088 9378099 12504132 18756198 25008264 28134297 37512396 56268594 75024792 112537188 225074376