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225314232 = 233111365651
BaseRepresentation
bin11010110111000…
…00010110111000
3120200222011000120
431123200112320
5430140023412
634205133240
75404065543
oct1533402670
9520864016
10225314232
11106202a10
126355a220
13378ab540
1421cd185a
1514ba9b8c
hexd6e05b8

225314232 has 64 divisors (see below), whose sum is σ = 661772160. Its totient is φ = 63024000.

The previous prime is 225314191. The next prime is 225314239. The reversal of 225314232 is 232413522.

225314232 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225314239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29394 + ... + 36257.

It is an arithmetic number, because the mean of its divisors is an integer number (10340190).

Almost surely, 2225314232 is an apocalyptic number.

225314232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225314232 is an abundant number, since it is smaller than the sum of its proper divisors (436457928).

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

225314232 is a wasteful number, since it uses less digits than its factorization.

225314232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65684 (or 65680 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 225314232 is about 15010.4707454497. The cubic root of 225314232 is about 608.5032119215.

Adding to 225314232 its reverse (232413522), we get a palindrome (457727754).

The spelling of 225314232 in words is "two hundred twenty-five million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 65651 131302 196953 262604 393906 525208 722161 787812 853463 1444322 1575624 1706926 2166483 2560389 2888644 3413852 4332966 5120778 5777288 6827704 8665932 9388093 10241556 17331864 18776186 20483112 28164279 37552372 56328558 75104744 112657116 225314232