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225975204 = 223371322993
BaseRepresentation
bin11010111100000…
…01101110100100
3120202012201201000
431132001232210
5430322201304
634231233300
75412520560
oct1536015644
9522181630
10225975204
11106614574
1263818830
1337a80350
14220246a0
1514c8a939
hexd781ba4

225975204 has 96 divisors (see below), whose sum is σ = 721091840. Its totient is φ = 59595264.

The previous prime is 225975187. The next prime is 225975241. The reversal of 225975204 is 402579522.

It is a happy number.

225975204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1669 + ... + 21324.

Almost surely, 2225975204 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 225975204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360545920).

225975204 is an abundant number, since it is smaller than the sum of its proper divisors (495116636).

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

225975204 is a wasteful number, since it uses less digits than its factorization.

225975204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23026 (or 23018 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 225975204 is about 15032.4716530583. The cubic root of 225975204 is about 609.0976571776.

The spelling of 225975204 in words is "two hundred twenty-five million, nine hundred seventy-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 22993 45986 68979 91972 137958 160951 206937 275916 298909 321902 413874 482853 597818 620811 643804 827748 896727 965706 1195636 1241622 1448559 1793454 1931412 2092363 2483244 2690181 2897118 3586908 4184726 4345677 5380362 5794236 6277089 8070543 8369452 8691354 10760724 12554178 16141086 17382708 18831267 25108356 32282172 37662534 56493801 75325068 112987602 225975204