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22863299328 = 283329167683
BaseRepresentation
bin10101010010110000…
…100100001100000000
32012000101022221112000
4111102300210030000
5333311001034303
614300411504000
71436400560232
oct252260441400
965011287460
1022863299328
119772811201
124520a58000
1322049687ac
14116c6a6252
158dc30ada3
hex552c24300

22863299328 has 288 divisors, whose sum is σ = 70464038400. Its totient is φ = 7303532544.

The previous prime is 22863299321. The next prime is 22863299383. The reversal of 22863299328 is 82399236822.

22863299328 is a `hidden beast` number, since 2 + 28 + 6 + 3 + 299 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22863299321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33474475 + ... + 33475157.

It is an arithmetic number, because the mean of its divisors is an integer number (244666800).

Almost surely, 222863299328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22863299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35232019200).

22863299328 is an abundant number, since it is smaller than the sum of its proper divisors (47600739072).

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

22863299328 is a wasteful number, since it uses less digits than its factorization.

22863299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 884 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 22863299328 in words is "twenty-two billion, eight hundred sixty-three million, two hundred ninety-nine thousand, three hundred twenty-eight".