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22868905248 = 253272192672
BaseRepresentation
bin10101010011000101…
…111100110100100000
32012000202212202101200
4111103011330310200
5333313414431443
614301132001200
71436466326100
oct252305746440
965022782350
1022868905248
11977599aaa2
124522900200
132205b7c2c7
14116d325200
158dca66dd3
hex55317cd20

22868905248 has 486 divisors, whose sum is σ = 81051818211. Its totient is φ = 6097690368.

The previous prime is 22868905187. The next prime is 22868905249. The reversal of 22868905248 is 84250986822.

It is a happy number.

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.

22868905248 is a `hidden beast` number, since 2 + 28 + 6 + 8 + 90 + 524 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11434452624 + 11434452624 = 106932^2 + 106932^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106932.

It is a junction number, because it is equal to n+sod(n) for n = 22868905194 and 22868905203.

It is not an unprimeable number, because it can be changed into a prime (22868905249) 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, 341326911 + ... + 341326977.

Almost surely, 222868905248 is an apocalyptic number.

22868905248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22868905248

22868905248 is an abundant number, since it is smaller than the sum of its proper divisors (58182912963).

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

22868905248 is a wasteful number, since it uses less digits than its factorization.

22868905248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 22868905248 in words is "twenty-two billion, eight hundred sixty-eight million, nine hundred five thousand, two hundred forty-eight".