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225234592 = 25113120641
BaseRepresentation
bin11010110110011…
…00111010100000
3120200211002202221
431123030322200
5430130001332
634203320424
75403314422
oct1533147240
9520732687
10225234592
111061590a0
1263520114
133788120b
1421cb0812
1514b91297
hexd6ccea0

225234592 has 48 divisors (see below), whose sum is σ = 499371264. Its totient is φ = 99072000.

The previous prime is 225234589. The next prime is 225234601. The reversal of 225234592 is 295432522.

225234592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592 + ... + 21232.

It is an arithmetic number, because the mean of its divisors is an integer number (10403568).

Almost surely, 2225234592 is an apocalyptic number.

225234592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225234592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249685632).

225234592 is an abundant number, since it is smaller than the sum of its proper divisors (274136672).

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

225234592 is a wasteful number, since it uses less digits than its factorization.

225234592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20693 (or 20685 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 225234592 is about 15007.8176961209. The cubic root of 225234592 is about 608.4315092358.

The spelling of 225234592 in words is "two hundred twenty-five million, two hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 20641 41282 82564 165128 227051 330256 454102 639871 660512 908204 1279742 1816408 2559484 3632816 5118968 7038581 7265632 10237936 14077162 20475872 28154324 56308648 112617296 225234592