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22068462960 = 243651722259
BaseRepresentation
bin10100100011011000…
…100000010101110000
32002221222201002000000
4110203120200111300
5330144011303320
614045455430000
71410606561105
oct244330402560
962858632000
1022068462960
1193a5087945
12433a825300
1321090a300b
1410d4cc2aac
15892653c90
hex523620570

22068462960 has 280 divisors, whose sum is σ = 81457442640. Its totient is φ = 5538502656.

The previous prime is 22068462959. The next prime is 22068462961. The reversal of 22068462960 is 6926486022.

It is an interprime number because it is at equal distance from previous prime (22068462959) and next prime (22068462961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22068462961) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 980311 + ... + 1002569.

It is an arithmetic number, because the mean of its divisors is an integer number (290919438).

Almost surely, 222068462960 is an apocalyptic number.

22068462960 is a gapful number since it is divisible by the number (20) 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 22068462960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40728721320).

22068462960 is an abundant number, since it is smaller than the sum of its proper divisors (59388979680).

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

22068462960 is a wasteful number, since it uses less digits than its factorization.

22068462960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22307 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 22068462960 in words is "twenty-two billion, sixty-eight million, four hundred sixty-two thousand, nine hundred sixty".