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22042424040 = 23357133136449
BaseRepresentation
bin10100100001110101…
…001011001011101000
32002220011201011022120
4110201311023023220
5330120330032130
614043125351240
71410142340640
oct244165131350
962804634276
1022042424040
11939141247a
124331b68520
132103886c80
1410d1665520
1589020d910
hex521d4b2e8

22042424040 has 256 divisors, whose sum is σ = 81660096000. Its totient is φ = 4635131904.

The previous prime is 22042424017. The next prime is 22042424069. The reversal of 22042424040 is 4042424022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22042424040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3414736 + ... + 3421184.

It is an arithmetic number, because the mean of its divisors is an integer number (318984750).

Almost surely, 222042424040 is an apocalyptic number.

22042424040 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 22042424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40830048000).

22042424040 is an abundant number, since it is smaller than the sum of its proper divisors (59617671960).

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

22042424040 is a wasteful number, since it uses less digits than its factorization.

22042424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22042424040 its reverse (4042424022), we get a palindrome (26084848062).

The spelling of 22042424040 in words is "twenty-two billion, forty-two million, four hundred twenty-four thousand, forty".