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225724896 = 2532783767
BaseRepresentation
bin11010111010001…
…00100111100000
3120201202000100100
431131010213200
5430241144041
634222022400
75410426035
oct1535044740
9521660310
10225724896
11106463501
1263717a00
13379c3437
1421d9b38c
1514c3b6b6
hexd7449e0

225724896 has 36 divisors (see below), whose sum is σ = 641905992. Its totient is φ = 75241536.

The previous prime is 225724871. The next prime is 225724897. The reversal of 225724896 is 698427522.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225724897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391596 + ... + 392171.

It is an arithmetic number, because the mean of its divisors is an integer number (17830722).

Almost surely, 2225724896 is an apocalyptic number.

It is an amenable number.

225724896 is an abundant number, since it is smaller than the sum of its proper divisors (416181096).

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

225724896 is a wasteful number, since it uses less digits than its factorization.

225724896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783783 (or 783772 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 225724896 is about 15024.1437692802. The cubic root of 225724896 is about 608.8726791840.

The spelling of 225724896 in words is "two hundred twenty-five million, seven hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 783767 1567534 2351301 3135068 4702602 6270136 7053903 9405204 12540272 14107806 18810408 25080544 28215612 37620816 56431224 75241632 112862448 225724896