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216552564 = 223237162577
BaseRepresentation
bin11001110100001…
…01010001110100
3120002111000021100
430322011101310
5420414140224
633253250100
75236444404
oct1472052164
9502430240
10216552564
11101269168
1260633930
1335b31517
1420a90804
1514028ac9
hexce85474

216552564 has 36 divisors (see below), whose sum is σ = 562194724. Its totient is φ = 70232832.

The previous prime is 216552559. The next prime is 216552571. The reversal of 216552564 is 465255612.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 114704100 = 10092^2 + 10710^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 79957 + ... + 82620.

Almost surely, 2216552564 is an apocalyptic number.

It is an amenable number.

216552564 is an abundant number, since it is smaller than the sum of its proper divisors (345642160).

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

216552564 is a wasteful number, since it uses less digits than its factorization.

216552564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162624 (or 162619 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 216552564 is about 14715.7250585895. The cubic root of 216552564 is about 600.5111976712.

The spelling of 216552564 in words is "two hundred sixteen million, five hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 162577 325154 487731 650308 975462 1463193 1950924 2926386 5852772 6015349 12030698 18046047 24061396 36092094 54138141 72184188 108276282 216552564