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220305992 = 23173743781
BaseRepresentation
bin11010010000110…
…01101001001000
3120100112201000012
431020121221020
5422344242432
633505531052
75313366344
oct1510315110
9510481005
10220305992
111033a2175
1261943a88
1336846a9a
142138a624
151451acb2
hexd219a48

220305992 has 32 divisors (see below), whose sum is σ = 449203320. Its totient is φ = 100869120.

The previous prime is 220305977. The next prime is 220306003. The reversal of 220305992 is 299503022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197514916 + 22791076 = 14054^2 + 4774^2 .

It is a super-2 number, since 2×2203059922 = 97069460222208128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16859 + ... + 26922.

Almost surely, 2220305992 is an apocalyptic number.

It is an amenable number.

220305992 is an abundant number, since it is smaller than the sum of its proper divisors (228897328).

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

220305992 is a wasteful number, since it uses less digits than its factorization.

220305992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43841 (or 43837 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 220305992 is about 14842.7083781903. The cubic root of 220305992 is about 603.9608252007.

The spelling of 220305992 in words is "two hundred twenty million, three hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 296 629 1258 2516 5032 43781 87562 175124 350248 744277 1488554 1619897 2977108 3239794 5954216 6479588 12959176 27538249 55076498 110152996 220305992