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22540543344 = 24321161263887
BaseRepresentation
bin10100111111100001…
…010110010101110000
32011011220000020112200
4110333201112111300
5332130334341334
614204402023200
71425401312544
oct247741262560
964156006480
1022540543344
119617604920
124450947b00
132182b31017
14113b88ba24
158bdd04799
hex53f856570

22540543344 has 240 divisors, whose sum is σ = 70290215424. Its totient is φ = 6685401600.

The previous prime is 22540543247. The next prime is 22540543349. The reversal of 22540543344 is 44334504522.

22540543344 is a `hidden beast` number, since 22 + 54 + 0 + 543 + 3 + 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 = 22540543299 and 22540543308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22540543349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25411669 + ... + 25412555.

Almost surely, 222540543344 is an apocalyptic number.

22540543344 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 22540543344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145107712).

22540543344 is an abundant number, since it is smaller than the sum of its proper divisors (47749672080).

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

22540543344 is a wasteful number, since it uses less digits than its factorization.

22540543344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1227 counting only the distinct ones).

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

The spelling of 22540543344 in words is "twenty-two billion, five hundred forty million, five hundred forty-three thousand, three hundred forty-four".