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225652544 = 2613271217
BaseRepresentation
bin11010111001100…
…10111101000000
3120201121100002122
431130302331000
5430231340134
634220303412
75410005065
oct1534627500
9521540078
10225652544
11106414107
12636a1b68
1337999520
1421d7cc6c
1514c2502e
hexd732f40

225652544 has 28 divisors (see below), whose sum is σ = 482225604. Its totient is φ = 104146944.

The previous prime is 225652513. The next prime is 225652547. The reversal of 225652544 is 445256522.

225652544 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15054400 + 210598144 = 3880^2 + 14512^2 .

It is a super-2 number, since 2×2256525442 = 101838141227343872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225652547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134777 + ... + 136440.

It is an arithmetic number, because the mean of its divisors is an integer number (17222343).

Almost surely, 2225652544 is an apocalyptic number.

It is an amenable number.

225652544 is an abundant number, since it is smaller than the sum of its proper divisors (256573060).

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

225652544 is a wasteful number, since it uses less digits than its factorization.

225652544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271242 (or 271232 counting only the distinct ones).

The product of its digits is 96000, while the sum is 35.

The square root of 225652544 is about 15021.7357186179. The cubic root of 225652544 is about 608.8076178866.

The spelling of 225652544 in words is "two hundred twenty-five million, six hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 271217 542434 1084868 2169736 3525821 4339472 7051642 8678944 14103284 17357888 28206568 56413136 112826272 225652544