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225276624 = 24321564421
BaseRepresentation
bin11010110110101…
…11001011010000
3120200220020102200
431123113023100
5430132322444
634204243200
75403551106
oct1533271320
9520806380
10225276624
11106187731
1263540500
13378973a1
1421cc1c76
1514b9d969
hexd6d72d0

225276624 has 30 divisors (see below), whose sum is σ = 630462066. Its totient is φ = 75092160.

The previous prime is 225276619. The next prime is 225276643. The reversal of 225276624 is 426672522.

225276624 is a `hidden beast` number, since 2 + 2 + 5 + 27 + 6 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175827600 + 49449024 = 13260^2 + 7032^2 .

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 5 ways as a sum of consecutive naturals, for example, 782067 + ... + 782354.

Almost surely, 2225276624 is an apocalyptic number.

225276624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225276624 is an abundant number, since it is smaller than the sum of its proper divisors (405185442).

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

225276624 is a wasteful number, since it uses less digits than its factorization.

225276624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564435 (or 1564426 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 225276624 is about 15009.2179676358. The cubic root of 225276624 is about 608.4693542257.

The spelling of 225276624 in words is "two hundred twenty-five million, two hundred seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1564421 3128842 4693263 6257684 9386526 12515368 14079789 18773052 25030736 28159578 37546104 56319156 75092208 112638312 225276624