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213983664 = 24322319991
BaseRepresentation
bin11001100000100…
…10000110110000
3112220122111101220
430300102012300
5414234434124
633122225040
75205555036
oct1460220660
9486574356
10213983664
11aa874104
125b7b5180
133544216b
14205c2556
1513bbc879
hexcc121b0

213983664 has 40 divisors (see below), whose sum is σ = 555297792. Its totient is φ = 71004480.

The previous prime is 213983647. The next prime is 213983683. The reversal of 213983664 is 466389312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709 + ... + 20699.

Almost surely, 2213983664 is an apocalyptic number.

213983664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213983664 is an abundant number, since it is smaller than the sum of its proper divisors (341314128).

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

213983664 is a wasteful number, since it uses less digits than its factorization.

213983664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20225 (or 20219 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 213983664 is about 14628.1804746865. The cubic root of 213983664 is about 598.1271825625.

The spelling of 213983664 in words is "two hundred thirteen million, nine hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 223 446 669 892 1338 1784 2676 3568 5352 10704 19991 39982 59973 79964 119946 159928 239892 319856 479784 959568 4457993 8915986 13373979 17831972 26747958 35663944 53495916 71327888 106991832 213983664