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22534225344 = 2632239671759
BaseRepresentation
bin10100111111001001…
…001111110111000000
32011011110010020212200
4110333021033313000
5332122230202334
614204014353200
71425263516661
oct247711176700
964143106780
1022534225344
119613a8a034
12444a7bb800
13218172b367
14113aac5368
158bd4a7799
hex53f24fdc0

22534225344 has 168 divisors, whose sum is σ = 67506616320. Its totient is φ = 7173315072.

The previous prime is 22534225313. The next prime is 22534225409. The reversal of 22534225344 is 44352243522.

22534225344 is a `hidden beast` number, since 2 + 25 + 342 + 253 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22534225299 and 22534225308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12809937 + ... + 12811695.

Almost surely, 222534225344 is an apocalyptic number.

22534225344 is a gapful number since it is divisible by the number (24) 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 22534225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33753308160).

22534225344 is an abundant number, since it is smaller than the sum of its proper divisors (44972390976).

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

22534225344 is a wasteful number, since it uses less digits than its factorization.

22534225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2754 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

Adding to 22534225344 its reverse (44352243522), we get a palindrome (66886468866).

The spelling of 22534225344 in words is "twenty-two billion, five hundred thirty-four million, two hundred twenty-five thousand, three hundred forty-four".