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225314784 = 253486927
BaseRepresentation
bin11010110111000…
…00011111100000
3120200222011210000
431123200133200
5430140033114
634205140000
75404100262
oct1533403740
9520864700
10225314784
11106203372
126355a600
13378ab876
1421cd1b32
1514ba9e09
hexd6e07e0

225314784 has 60 divisors (see below), whose sum is σ = 662652144. Its totient is φ = 75104064.

The previous prime is 225314779. The next prime is 225314827. The reversal of 225314784 is 487413522.

It is a happy number.

225314784 is a `hidden beast` number, since 2 + 2 + 531 + 47 + 84 = 666.

225314784 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40872 + ... + 46055.

Almost surely, 2225314784 is an apocalyptic number.

225314784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225314784 is an abundant number, since it is smaller than the sum of its proper divisors (437337360).

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

225314784 is an equidigital number, since it uses as much as digits as its factorization.

225314784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86949 (or 86932 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 225314784 is about 15010.4891326032. The cubic root of 225314784 is about 608.5037088475.

The spelling of 225314784 in words is "two hundred twenty-five million, three hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 86927 173854 260781 347708 521562 695416 782343 1043124 1390832 1564686 2086248 2347029 2781664 3129372 4172496 4694058 6258744 7041087 8344992 9388116 12517488 14082174 18776232 25034976 28164348 37552464 56328696 75104928 112657392 225314784