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225308136 = 23361672297
BaseRepresentation
bin11010110110111…
…10110111101000
3120200221211122210
431123132313220
5430134330021
634205045120
75404042014
oct1533366750
9520854583
10225308136
111061a9379
12635567a0
13378a8831
1421ccd544
1514ba7e76
hexd6dede8

225308136 has 64 divisors (see below), whose sum is σ = 581302080. Its totient is φ = 72737280.

The previous prime is 225308131. The next prime is 225308143. The reversal of 225308136 is 631803522.

It is a super-2 number, since 2×2253081362 = 101527512295588992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225308131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96940 + ... + 99236.

It is an arithmetic number, because the mean of its divisors is an integer number (9082845).

Almost surely, 2225308136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225308136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290651040).

225308136 is an abundant number, since it is smaller than the sum of its proper divisors (355993944).

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

225308136 is a wasteful number, since it uses less digits than its factorization.

225308136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 225308136 is about 15010.2676858209. The cubic root of 225308136 is about 608.4977240760.

The spelling of 225308136 in words is "two hundred twenty-five million, three hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 67 122 134 183 201 244 268 366 402 488 536 732 804 1464 1608 2297 4087 4594 6891 8174 9188 12261 13782 16348 18376 24522 27564 32696 49044 55128 98088 140117 153899 280234 307798 420351 461697 560468 615596 840702 923394 1120936 1231192 1681404 1846788 3362808 3693576 9387839 18775678 28163517 37551356 56327034 75102712 112654068 225308136