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220477216968 = 2332553372
BaseRepresentation
bin1100110101010101110…
…1110101100011001000
3210002002102210002100200
43031111131311203020
512103014131420333
6245141423532200
721633426265011
oct3152535654310
9702072702320
10220477216968
118555a706408
123689145a060
1317a38832ac8
14a95790c008
155b06057c13
hex33557758c8

220477216968 has 36 divisors (see below), whose sum is σ = 597136586865. Its totient is φ = 73491077568.

The previous prime is 220477216933. The next prime is 220477217039. The reversal of 220477216968 is 869612774022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220477216968 is a `hidden beast` number, since 2 + 2 + 0 + 477 + 2 + 169 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216744251364 + 3732965604 = 465558^2 + 61098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332022.

It is a super-2 number, since 2×2204772169682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3956596 + ... + 4011932.

Almost surely, 2220477216968 is an apocalyptic number.

It is an amenable number.

220477216968 is an abundant number, since it is smaller than the sum of its proper divisors (376659369897).

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

220477216968 is an frugal number, since it uses more digits than its factorization.

220477216968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110686 (or 55342 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 220477216968 in words is "two hundred twenty billion, four hundred seventy-seven million, two hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 55337 110674 166011 221348 332022 442696 498033 664044 996066 1328088 1992132 3984264 3062183569 6124367138 9186550707 12248734276 18373101414 24497468552 27559652121 36746202828 55119304242 73492405656 110238608484 220477216968