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221057564 = 22713607301
BaseRepresentation
bin11010010110100…
…01001000011100
3120101221212222012
431023101020130
5423042320224
633534010352
75322646460
oct1513211034
9511855865
10221057564
11103865902
12620469b8
1336a4abc0
14215044a0
151461880e
hexd2d121c

221057564 has 24 divisors (see below), whose sum is σ = 476124768. Its totient is φ = 87451200.

The previous prime is 221057561. The next prime is 221057611. The reversal of 221057564 is 465750122.

It is a super-2 number, since 2×2210575642 = 97732893203228192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 221057564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221057561) 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, 303287 + ... + 304014.

It is an arithmetic number, because the mean of its divisors is an integer number (19838532).

Almost surely, 2221057564 is an apocalyptic number.

It is an amenable number.

221057564 is an abundant number, since it is smaller than the sum of its proper divisors (255067204).

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

221057564 is a wasteful number, since it uses less digits than its factorization.

221057564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607325 (or 607323 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 221057564 is about 14868.0047080972. The cubic root of 221057564 is about 604.6468480604.

The spelling of 221057564 in words is "two hundred twenty-one million, fifty-seven thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 607301 1214602 2429204 4251107 7894913 8502214 15789826 17004428 31579652 55264391 110528782 221057564