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221380160 = 265691813
BaseRepresentation
bin11010011000111…
…11111001000000
3120102120021111012
431030133321000
5423133131120
633544540052
75325462131
oct1514377100
9512507435
10221380160
11103a66211
1262181628
1336b319a1
1421589c88
151467e1c5
hexd31fe40

221380160 has 28 divisors (see below), whose sum is σ = 527162268. Its totient is φ = 88551936.

The previous prime is 221380151. The next prime is 221380169. The reversal of 221380160 is 61083122.

221380160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221380151) and next prime (221380169).

It can be written as a sum of positive squares in 2 ways, for example, as 147282496 + 74097664 = 12136^2 + 8608^2 .

It is not an unprimeable number, because it can be changed into a prime (221380169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345587 + ... + 346226.

Almost surely, 2221380160 is an apocalyptic number.

221380160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221380160 is an abundant number, since it is smaller than the sum of its proper divisors (305782108).

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

221380160 is an equidigital number, since it uses as much as digits as its factorization.

221380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691830 (or 691820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 221380160 is about 14878.8494178817. The cubic root of 221380160 is about 604.9408315881.

The spelling of 221380160 in words is "two hundred twenty-one million, three hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 691813 1383626 2767252 3459065 5534504 6918130 11069008 13836260 22138016 27672520 44276032 55345040 110690080 221380160