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225628776 = 23323133733
BaseRepresentation
bin11010111001011…
…01001001101000
3120201120010111100
431130231021220
5430230110101
634220001400
75406545562
oct1534551150
9521503440
10225628776
111063a826a
1263690260
133798b769
1421d74332
1514c1ce86
hexd72d268

225628776 has 24 divisors (see below), whose sum is σ = 611078130. Its totient is φ = 75209568.

The previous prime is 225628771. The next prime is 225628789. The reversal of 225628776 is 677826522.

225628776 is a `hidden beast` number, since 2 + 2 + 562 + 87 + 7 + 6 = 666.

225628776 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., 206496900 + 19131876 = 14370^2 + 4374^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (225628771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1566795 + ... + 1566938.

Almost surely, 2225628776 is an apocalyptic number.

It is an amenable number.

225628776 is an abundant number, since it is smaller than the sum of its proper divisors (385449354).

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

225628776 is a wasteful number, since it uses less digits than its factorization.

225628776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133745 (or 3133738 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 225628776 is about 15020.9445774891. The cubic root of 225628776 is about 608.7862418849.

The spelling of 225628776 in words is "two hundred twenty-five million, six hundred twenty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3133733 6267466 9401199 12534932 18802398 25069864 28203597 37604796 56407194 75209592 112814388 225628776