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22218475968 = 26321321941293
BaseRepresentation
bin10100101100010100…
…110000100111000000
32010100102222112011100
4110230110300213000
5331000412212333
614112415014400
71414410633603
oct245424604700
963312875140
1022218475968
119471828937
124380b0a400
1321311a7b00
14110abb233a
158a08d7213
hex52c5309c0

22218475968 has 504 divisors, whose sum is σ = 74614765680. Its totient is φ = 6297108480.

The previous prime is 22218475943. The next prime is 22218476003. The reversal of 22218475968 is 86957481222.

22218475968 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 8 + 47 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75830830 + ... + 75831122.

It is an arithmetic number, because the mean of its divisors is an integer number (148045170).

Almost surely, 222218475968 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 22218475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307382840).

22218475968 is an abundant number, since it is smaller than the sum of its proper divisors (52396289712).

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

22218475968 is a wasteful number, since it uses less digits than its factorization.

22218475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 22218475968 in words is "twenty-two billion, two hundred eighteen million, four hundred seventy-five thousand, nine hundred sixty-eight".