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22041538560 = 21235543103
BaseRepresentation
bin10100100001110001…
…110011000000000000
32002220010001011200000
4110201301303000000
5330120113213220
614043054400000
71410131662236
oct244161630000
962803034600
1022041538560
119390968178
124331800000
132103636c12
1410d14b4956
158900d6390
hex521c73000

22041538560 has 624 divisors, whose sum is σ = 81860722944. Its totient is φ = 5685313536.

The previous prime is 22041538553. The next prime is 22041538577. The reversal of 22041538560 is 6583514022.

22041538560 is a `hidden beast` number, since 2 + 2 + 0 + 41 + 53 + 8 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213995469 + ... + 213995571.

It is an arithmetic number, because the mean of its divisors is an integer number (131187056).

Almost surely, 222041538560 is an apocalyptic number.

22041538560 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 22041538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40930361472).

22041538560 is an abundant number, since it is smaller than the sum of its proper divisors (59819184384).

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

22041538560 is an equidigital number, since it uses as much as digits as its factorization.

22041538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22041538560 in words is "twenty-two billion, forty-one million, five hundred thirty-eight thousand, five hundred sixty".