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225319716 = 22326258881
BaseRepresentation
bin11010110111000…
…01101100100100
3120200222102112200
431123201230210
5430140212331
634205214500
75404120536
oct1533415444
9520872480
10225319716
11106207046
1263561430
13378b0b9b
1421cd3856
1514bab5e6
hexd6e1b24

225319716 has 18 divisors (see below), whose sum is σ = 569558262. Its totient is φ = 75106560.

The previous prime is 225319709. The next prime is 225319733. The reversal of 225319716 is 617913522.

225319716 is a `hidden beast` number, since 22 + 531 + 97 + 16 = 666.

225319716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 224100900 + 1218816 = 14970^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6258881 = 225319716 / (2 + 2 + 5 + 3 + 1 + 9 + 7 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3129405 + ... + 3129476.

Almost surely, 2225319716 is an apocalyptic number.

It is an amenable number.

225319716 is an abundant number, since it is smaller than the sum of its proper divisors (344238546).

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

225319716 is a wasteful number, since it uses less digits than its factorization.

225319716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258891 (or 6258886 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 225319716 is about 15010.6534168237. The cubic root of 225319716 is about 608.5081487372.

The spelling of 225319716 in words is "two hundred twenty-five million, three hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 6258881 12517762 18776643 25035524 37553286 56329929 75106572 112659858 225319716