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225314120 = 2355632853
BaseRepresentation
bin11010110111000…
…00010101001000
3120200222010212102
431123200111020
5430140022440
634205132532
75404065323
oct1533402510
9520863772
10225314120
11106202919
126355a148
13378ab485
1421cd17ba
1514ba9b15
hexd6e0548

225314120 has 16 divisors (see below), whose sum is σ = 506956860. Its totient is φ = 90125632.

The previous prime is 225314119. The next prime is 225314123. The reversal of 225314120 is 21413522.

It can be written as a sum of positive squares in 2 ways, for example, as 220760164 + 4553956 = 14858^2 + 2134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225314092 and 225314101.

It is not an unprimeable number, because it can be changed into a prime (225314123) 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, 2816387 + ... + 2816466.

Almost surely, 2225314120 is an apocalyptic number.

225314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225314120 is an abundant number, since it is smaller than the sum of its proper divisors (281642740).

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

225314120 is a wasteful number, since it uses less digits than its factorization.

225314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632864 (or 5632860 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225314120 is about 15010.4670147201. The cubic root of 225314120 is about 608.5031110958.

Adding to 225314120 its reverse (21413522), we get a palindrome (246727642).

The spelling of 225314120 in words is "two hundred twenty-five million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5632853 11265706 22531412 28164265 45062824 56328530 112657060 225314120