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220465264338 = 232112100612
BaseRepresentation
bin1100110101010011000…
…0001111011011010010
3210002001121021211102200
43031110300033123102
512103003101424323
6245140315424030
721633222553464
oct3152460173322
9702047254380
10220465264338
1185553992200
1236889455016
1317a36209547
14a9560ba134
155b04e96443
hex3354c0f6d2

220465264338 has 54 divisors (see below), whose sum is σ = 525099632421. Its totient is φ = 66801015600.

The previous prime is 220465264333. The next prime is 220465264339. The reversal of 220465264338 is 833462564022.

220465264338 is a `hidden beast` number, since 2 + 204 + 6 + 5 + 2 + 6 + 433 + 8 = 666.

220465264338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219307699809 + 1157564529 = 468303^2 + 34023^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332013.

It is a junction number, because it is equal to n+sod(n) for n = 220465264293 and 220465264302.

It is not an unprimeable number, because it can be changed into a prime (220465264333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21907828 + ... + 21917888.

Almost surely, 2220465264338 is an apocalyptic number.

220465264338 is an abundant number, since it is smaller than the sum of its proper divisors (304634368083).

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

220465264338 is an equidigital number, since it uses as much as digits as its factorization.

220465264338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 220465264338 in words is "two hundred twenty billion, four hundred sixty-five million, two hundred sixty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 10061 20122 30183 60366 90549 110671 181098 221342 332013 664026 996039 1217381 1992078 2434762 3652143 7304286 10956429 21912858 101223721 202447442 303671163 607342326 911013489 1113460931 1822026978 2226921862 3340382793 6680765586 10021148379 12248070241 20042296758 24496140482 36744210723 73488421446 110232632169 220465264338