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22140018684 = 223672236737
BaseRepresentation
bin10100100111101001…
…011101111111111100
32010010222100111000000
4110213221131333330
5330320321044214
614100533234300
71412436024300
oct244751357774
963128314000
1022140018684
119431510803
12435a792990
13211ab67994
1411005cbd00
15898a8a809
hex527a5dffc

22140018684 has 252 divisors, whose sum is σ = 70523735184. Its totient is φ = 6049790208.

The previous prime is 22140018643. The next prime is 22140018757. The reversal of 22140018684 is 48681004122.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3282964 + ... + 3289700.

It is an arithmetic number, because the mean of its divisors is an integer number (279856092).

Almost surely, 222140018684 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 22140018684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35261867592).

22140018684 is an abundant number, since it is smaller than the sum of its proper divisors (48383716500).

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

22140018684 is a wasteful number, since it uses less digits than its factorization.

22140018684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 22140018684 in words is "twenty-two billion, one hundred forty million, eighteen thousand, six hundred eighty-four".