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22968614916 = 2232132292672
BaseRepresentation
bin10101011001000010…
…010100000000000100
32012021201111112100100
4111121002110000010
5334014431134131
614315053044100
71442120001612
oct253102240004
965251445310
1022968614916
119817203385
124550186630
132220720900
14117c67c6b2
158e66b07e6
hex559094004

22968614916 has 243 divisors, whose sum is σ = 66098204991. Its totient is φ = 6721723008.

The previous prime is 22968614899. The next prime is 22968614917. The reversal of 22968614916 is 61941686922.

The square root of 22968614916 is 151554.

It is a perfect power (a square), and thus also a powerful number.

22968614916 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 8 + 614 + 9 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2945232900 + 20023382016 = 54270^2 + 141504^2 .

It is not an unprimeable number, because it can be changed into a prime (22968614917) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 342815115 + ... + 342815181.

Almost surely, 222968614916 is an apocalyptic number.

22968614916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22968614916 is the 151554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22968614916

22968614916 is an abundant number, since it is smaller than the sum of its proper divisors (43129590075).

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

22968614916 is a wasteful number, since it uses less digits than its factorization.

22968614916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 22968614916 in words is "twenty-two billion, nine hundred sixty-eight million, six hundred fourteen thousand, nine hundred sixteen".