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221330960 = 2452766637
BaseRepresentation
bin11010011000100…
…11111000010000
3120102110202222222
431030103320100
5423130042320
633543520212
75325165524
oct1514237020
9512422888
10221330960
11103a32254
1262159068
1336b15486
1421575d84
151466e825
hexd313e10

221330960 has 20 divisors (see below), whose sum is σ = 514594668. Its totient is φ = 88532352.

The previous prime is 221330957. The next prime is 221330971. The reversal of 221330960 is 69033122.

It can be written as a sum of positive squares in 2 ways, for example, as 99361024 + 121969936 = 9968^2 + 11044^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383239 + ... + 1383398.

Almost surely, 2221330960 is an apocalyptic number.

221330960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221330960 is an abundant number, since it is smaller than the sum of its proper divisors (293263708).

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

221330960 is a wasteful number, since it uses less digits than its factorization.

221330960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766650 (or 2766644 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 221330960 is about 14877.1959723598. The cubic root of 221330960 is about 604.8960138199.

The spelling of 221330960 in words is "two hundred twenty-one million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2766637 5533274 11066548 13833185 22133096 27666370 44266192 55332740 110665480 221330960