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224960232 = 23376412089
BaseRepresentation
bin11010110100010…
…01111011101000
3120200022011102110
431122021323220
5430042211412
634153402320
75401062510
oct1532117350
9520264373
10224960232
11105a90a52
12634093a0
13377b6383
1421c3c840
1514b39d3c
hexd689ee8

224960232 has 64 divisors (see below), whose sum is σ = 644054400. Its totient is φ = 64143360.

The previous prime is 224960213. The next prime is 224960233. The reversal of 224960232 is 232069422.

It is a self number, because there is not a number n which added to its sum of digits gives 224960232.

It is not an unprimeable number, because it can be changed into a prime (224960233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106644 + ... + 108732.

It is an arithmetic number, because the mean of its divisors is an integer number (10063350).

Almost surely, 2224960232 is an apocalyptic number.

It is an amenable number.

224960232 is an abundant number, since it is smaller than the sum of its proper divisors (419094168).

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

224960232 is a wasteful number, since it uses less digits than its factorization.

224960232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 224960232 is about 14998.6743414210. The cubic root of 224960232 is about 608.1843638150.

It can be divided in two parts, 2249 and 60232, that added together give a triangular number (62481 = T353).

The spelling of 224960232 in words is "two hundred twenty-four million, nine hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 641 1282 1923 2089 2564 3846 4178 4487 5128 6267 7692 8356 8974 12534 13461 14623 15384 16712 17948 25068 26922 29246 35896 43869 50136 53844 58492 87738 107688 116984 175476 350952 1339049 2678098 4017147 5356196 8034294 9373343 10712392 16068588 18746686 28120029 32137176 37493372 56240058 74986744 112480116 224960232