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224668520 = 23541136993
BaseRepresentation
bin11010110010000…
…10101101101000
3120122202100021022
431121002231220
5430003343040
634143232012
75365436156
oct1531025550
9518670238
10224668520
1110590186a
12632a8608
133771366b
1421ba43d6
1514acd6b5
hexd642b68

224668520 has 32 divisors (see below), whose sum is σ = 517837320. Its totient is φ = 87674880.

The previous prime is 224668517. The next prime is 224668529. The reversal of 224668520 is 25866422.

It can be written as a sum of positive squares in 4 ways, for example, as 176199076 + 48469444 = 13274^2 + 6962^2 .

It is not an unprimeable number, because it can be changed into a prime (224668529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66857 + ... + 70136.

Almost surely, 2224668520 is an apocalyptic number.

224668520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224668520 is an abundant number, since it is smaller than the sum of its proper divisors (293168800).

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

224668520 is a wasteful number, since it uses less digits than its factorization.

224668520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137045 (or 137041 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 224668520 is about 14988.9465940739. The cubic root of 224668520 is about 607.9213670815.

The spelling of 224668520 in words is "two hundred twenty-four million, six hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 136993 273986 547972 684965 1095944 1369930 2739860 5479720 5616713 11233426 22466852 28083565 44933704 56167130 112334260 224668520