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221393171616 = 2536137806211
BaseRepresentation
bin1100111000110000001…
…1111011010010100000
3210011110021022101220220
43032030003323102200
512111403122442431
6245412344003040
721665220623511
oct3161403732240
9704407271826
10221393171616
118598a745721
1236aa8160480
1317b535244c6
14aa0341ca08
155b5b686b96
hex338c0fb4a0

221393171616 has 48 divisors (see below), whose sum is σ = 590684256288. Its totient is φ = 72587923200.

The previous prime is 221393171599. The next prime is 221393171617. The reversal of 221393171616 is 616171393122.

221393171616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (221393171617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18897250 + ... + 18908961.

It is an arithmetic number, because the mean of its divisors is an integer number (12305922006).

Almost surely, 2221393171616 is an apocalyptic number.

It is an amenable number.

221393171616 is an abundant number, since it is smaller than the sum of its proper divisors (369291084672).

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

221393171616 is a wasteful number, since it uses less digits than its factorization.

221393171616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37806285 (or 37806277 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The spelling of 221393171616 in words is "two hundred twenty-one billion, three hundred ninety-three million, one hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 37806211 75612422 113418633 151224844 226837266 302449688 453674532 604899376 907349064 1209798752 1814698128 2306178871 3629396256 4612357742 6918536613 9224715484 13837073226 18449430968 27674146452 36898861936 55348292904 73797723872 110696585808 221393171616