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22481328968 = 237275732
BaseRepresentation
bin10100111011111111…
…011101101101001000
32011000202120211200122
4110323333131231020
5332020210011333
614154444522412
71424052100100
oct247377355510
964022524618
1022481328968
11959714021a
124434b50408
13217379a827
141133a76200
158b8a09798
hex53bfddb48

22481328968 has 36 divisors (see below), whose sum is σ = 49041007065. Its totient is φ = 9633583008.

The previous prime is 22481328953. The next prime is 22481329099. The reversal of 22481328968 is 86982318422.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 12272651524 + 10208677444 = 110782^2 + 101038^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106022.

It is a Duffinian number.

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, 2964830 + ... + 2972402.

Almost surely, 222481328968 is an apocalyptic number.

22481328968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22481328968 is an abundant number, since it is smaller than the sum of its proper divisors (26559678097).

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

22481328968 is an frugal number, since it uses more digits than its factorization.

22481328968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 7582 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 53.

The spelling of 22481328968 in words is "twenty-two billion, four hundred eighty-one million, three hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 7573 15146 30292 53011 60584 106022 212044 371077 424088 742154 1484308 2968616 57350329 114700658 229401316 401452303 458802632 802904606 1605809212 2810166121 3211618424 5620332242 11240664484 22481328968