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221132080 = 24513212627
BaseRepresentation
bin11010010111000…
…11010100110000
3120102002200012001
431023203110300
5423102211310
633535343344
75323406641
oct1513432460
9512080161
10221132080
11103906894
1262081b54
1336a75ab0
14215236c8
151463093a
hexd2e3530

221132080 has 40 divisors (see below), whose sum is σ = 553683312. Its totient is φ = 81648384.

The previous prime is 221132077. The next prime is 221132117. The reversal of 221132080 is 80231122.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 105274 + ... + 107353.

Almost surely, 2221132080 is an apocalyptic number.

221132080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132080 is an abundant number, since it is smaller than the sum of its proper divisors (332551232).

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

221132080 is a wasteful number, since it uses less digits than its factorization.

221132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212653 (or 212647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 221132080 is about 14870.5104149118. The cubic root of 221132080 is about 604.7147802950.

The spelling of 221132080 in words is "two hundred twenty-one million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 212627 425254 850508 1063135 1701016 2126270 2764151 3402032 4252540 5528302 8505080 11056604 13820755 17010160 22113208 27641510 44226416 55283020 110566040 221132080