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221533606272564 = 223247031308465083
BaseRepresentation
bin110010010111101111001111…
…111010000101111000110100
31002001101101221220212020021100
4302113233033322011320310
5213014101311201210224
62103055044520250100
764443163165512135
oct6227571772057064
91061341856766240
10221533606272564
116465096940a753
1220a1a844610930
13967c6b62194a1
143c9c3d8899c8c
151a928e67e8ac9
hexc97bcfe85e34

221533606272564 has 36 divisors (see below), whose sum is σ = 560106797717376. Its totient is φ = 73828833786768.

The previous prime is 221533606272557. The next prime is 221533606272613. The reversal of 221533606272564 is 465272606335122.

221533606272564 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 3 + 3 + 6 + 0 + 6 + 2 + 72 + 564 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221533606272564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654063234 + ... + 654401849.

It is an arithmetic number, because the mean of its divisors is an integer number (15558522158816).

Almost surely, 2221533606272564 is an apocalyptic number.

It is an amenable number.

221533606272564 is an abundant number, since it is smaller than the sum of its proper divisors (338573191444812).

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

221533606272564 is a wasteful number, since it uses less digits than its factorization.

221533606272564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308469796 (or 1308469791 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 221533606272564 in words is "two hundred twenty-one trillion, five hundred thirty-three billion, six hundred six million, two hundred seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4703 9406 14109 18812 28218 42327 56436 84654 169308 1308465083 2616930166 3925395249 5233860332 7850790498 11776185747 15701580996 23552371494 47104742988 6153711285349 12307422570698 18461133856047 24614845141396 36922267712094 55383401568141 73844535424188 110766803136282 221533606272564