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225973224 = 233210972861
BaseRepresentation
bin11010111100000…
…01001111101000
3120202012121222200
431132001033220
5430322120344
634231220200
75412512031
oct1536011750
9522177880
10225973224
11106613034
1263817660
1337a7c489
1422023a88
1514c8a069
hexd7813e8

225973224 has 48 divisors (see below), whose sum is σ = 612782820. Its totient is φ = 75229440.

The previous prime is 225973217. The next prime is 225973243. The reversal of 225973224 is 422379522.

225973224 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 2 ways, for example, as 224460324 + 1512900 = 14982^2 + 1230^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77554 + ... + 80414.

Almost surely, 2225973224 is an apocalyptic number.

225973224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225973224 is an abundant number, since it is smaller than the sum of its proper divisors (386809596).

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

225973224 is a wasteful number, since it uses less digits than its factorization.

225973224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3963 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 225973224 is about 15032.4057954806. The cubic root of 225973224 is about 609.0958781965.

The spelling of 225973224 in words is "two hundred twenty-five million, nine hundred seventy-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1097 2194 2861 3291 4388 5722 6582 8583 8776 9873 11444 13164 17166 19746 22888 25749 26328 34332 39492 51498 68664 78984 102996 205992 3138517 6277034 9415551 12554068 18831102 25108136 28246653 37662204 56493306 75324408 112986612 225973224