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221664012 = 22331976143
BaseRepresentation
bin11010011011001…
…01001100001100
3120110002200212020
431031211030030
5423221222022
633555010140
75331053523
oct1515451414
9513080766
10221664012
1110413a4a9
1262299950
1336c00c4b
14216214ba
15146d835c
hexd36530c

221664012 has 48 divisors (see below), whose sum is σ = 539492352. Its totient is φ = 70755840.

The previous prime is 221663971. The next prime is 221664019. The reversal of 221664012 is 210466122.

It is a super-2 number, since 2×2216640122 = 98269868431872288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221664019) 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 15 ways as a sum of consecutive naturals, for example, 33013 + ... + 39155.

It is an arithmetic number, because the mean of its divisors is an integer number (11239424).

Almost surely, 2221664012 is an apocalyptic number.

It is an amenable number.

221664012 is an abundant number, since it is smaller than the sum of its proper divisors (317828340).

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

221664012 is a wasteful number, since it uses less digits than its factorization.

221664012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 221664012 is about 14888.3851374150. The cubic root of 221664012 is about 605.1992713796.

The spelling of 221664012 in words is "two hundred twenty-one million, six hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 97 124 186 194 291 372 388 582 1164 3007 6014 6143 9021 12028 12286 18042 18429 24572 36084 36858 73716 190433 380866 571299 595871 761732 1142598 1191742 1787613 2285196 2383484 3575226 7150452 18472001 36944002 55416003 73888004 110832006 221664012