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225823644 = 22326272879
BaseRepresentation
bin11010111010111…
…00101110011100
3120201221000210200
431131130232130
5430302324034
634224103500
75411316654
oct1535345634
9521830720
10225823644
11106520712
1263764b90
1337a29377
1421dc5364
1514c5aa99
hexd75cb9c

225823644 has 18 divisors (see below), whose sum is σ = 570832080. Its totient is φ = 75274536.

The previous prime is 225823639. The next prime is 225823651. The reversal of 225823644 is 446328522.

225823644 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 2 + 3 + 644 = 666.

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: 6272879 = 225823644 / (2 + 2 + 5 + 8 + 2 + 3 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 225823599 and 225823608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3136404 + ... + 3136475.

Almost surely, 2225823644 is an apocalyptic number.

It is an amenable number.

225823644 is an abundant number, since it is smaller than the sum of its proper divisors (345008436).

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

225823644 is a wasteful number, since it uses less digits than its factorization.

225823644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272889 (or 6272884 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 225823644 is about 15027.4297203481. The cubic root of 225823644 is about 608.9614542001.

The spelling of 225823644 in words is "two hundred twenty-five million, eight hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6272879 12545758 18818637 25091516 37637274 56455911 75274548 112911822 225823644