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225770552 = 237101179223
BaseRepresentation
bin11010111010011…
…11110000111000
3120201211022222022
431131033300320
5430244124202
634223014012
75411006120
oct1535176070
9521738868
10225770552
11106494837
126373a308
1337a0b157
1421dadc80
1514c49ea2
hexd74fc38

225770552 has 64 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 94838400.

The previous prime is 225770549. The next prime is 225770561. The reversal of 225770552 is 255077522.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012313 + ... + 1012535.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2225770552 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 225770552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

225770552 is an abundant number, since it is smaller than the sum of its proper divisors (267746248).

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

225770552 is a wasteful number, since it uses less digits than its factorization.

225770552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 35.

The square root of 225770552 is about 15025.6631134869. The cubic root of 225770552 is about 608.9137274061.

The spelling of 225770552 in words is "two hundred twenty-five million, seven hundred seventy thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 101 179 202 223 358 404 446 707 716 808 892 1253 1414 1432 1561 1784 2506 2828 3122 5012 5656 6244 10024 12488 18079 22523 36158 39917 45046 72316 79834 90092 126553 144632 157661 159668 180184 253106 279419 315322 319336 506212 558838 630644 1012424 1117676 1261288 2235352 4031617 8063234 16126468 28221319 32252936 56442638 112885276 225770552