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225665752 = 2313171091171
BaseRepresentation
bin11010111001101…
…10001011011000
3120201122000012211
431130312023120
5430232301002
634220444504
75410061434
oct1534661330
9521560184
10225665752
11106423024
12636a9734
13379a2540
1421d839c4
1514c28dd7
hexd7362d8

225665752 has 64 divisors (see below), whose sum is σ = 487317600. Its totient is φ = 97044480.

The previous prime is 225665749. The next prime is 225665767. The reversal of 225665752 is 257566522.

It is a happy number.

225665752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 192127 + ... + 193297.

Almost surely, 2225665752 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 225665752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243658800).

225665752 is an abundant number, since it is smaller than the sum of its proper divisors (261651848).

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

225665752 is a wasteful number, since it uses less digits than its factorization.

225665752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its digits is 252000, while the sum is 40.

The square root of 225665752 is about 15022.1753418072. The cubic root of 225665752 is about 608.8194959921.

The spelling of 225665752 in words is "two hundred twenty-five million, six hundred sixty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 109 136 218 221 436 442 872 884 1171 1417 1768 1853 2342 2834 3706 4684 5668 7412 9368 11336 14824 15223 19907 24089 30446 39814 48178 60892 79628 96356 121784 127639 159256 192712 255278 258791 510556 517582 1021112 1035164 1659307 2070328 2169863 3318614 4339726 6637228 8679452 13274456 17358904 28208219 56416438 112832876 225665752