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220668900 = 223522331981
BaseRepresentation
bin11010010011100…
…10001111100100
3120101020010211020
431021302033210
5422442401100
633521411140
75316440364
oct1511621744
9511203736
10220668900
1110361a8a1
1261a99ab0
133694301a
14214429a4
151458d5a0
hexd2723e4

220668900 has 72 divisors (see below), whose sum is σ = 666249024. Its totient is φ = 56284800.

The previous prime is 220668871. The next prime is 220668913. The reversal of 220668900 is 9866022.

220668900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9091 + ... + 22890.

Almost surely, 2220668900 is an apocalyptic number.

220668900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220668900 is an abundant number, since it is smaller than the sum of its proper divisors (445580124).

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

220668900 is a wasteful number, since it uses less digits than its factorization.

220668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32021 (or 32014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 220668900 is about 14854.9284750887. The cubic root of 220668900 is about 604.2922762746.

The spelling of 220668900 in words is "two hundred twenty million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 31981 63962 95943 127924 159905 191886 319810 383772 479715 639620 735563 799525 959430 1471126 1599050 1918860 2206689 2398575 2942252 3198100 3677815 4413378 4797150 7355630 8826756 9594300 11033445 14711260 18389075 22066890 36778150 44133780 55167225 73556300 110334450 220668900