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224089960 = 23529193181
BaseRepresentation
bin11010101101101…
…01011101101000
3120121122221122011
431112311131220
5424331334320
634123005304
75360506333
oct1526653550
9517587564
10224089960
11105547116
1263069834
1337570213
1421a9361a
1514a1705a
hexd5b5768

224089960 has 32 divisors (see below), whose sum is σ = 521591400. Its totient is φ = 86544640.

The previous prime is 224089951. The next prime is 224089963. The reversal of 224089960 is 69980422.

It can be written as a sum of positive squares in 4 ways, for example, as 208455844 + 15634116 = 14438^2 + 3954^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (224089963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95431 + ... + 97750.

Almost surely, 2224089960 is an apocalyptic number.

224089960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224089960 is an abundant number, since it is smaller than the sum of its proper divisors (297501440).

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

224089960 is a wasteful number, since it uses less digits than its factorization.

224089960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193221 (or 193217 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 224089960 is about 14969.6345980789. The cubic root of 224089960 is about 607.3990845486.

The spelling of 224089960 in words is "two hundred twenty-four million, eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 193181 386362 772724 965905 1545448 1931810 3863620 5602249 7727240 11204498 22408996 28011245 44817992 56022490 112044980 224089960