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22114312440 = 233511371134007
BaseRepresentation
bin10100100110000111…
…011010000011111000
32010002011222110122220
4110212013122003320
5330242230444230
614054214244040
71412004361053
oct244607320370
963064873586
1022114312440
119418a53280
124352056620
13211573719c
1410db019a9a
158966add10
hex5261da0f8

22114312440 has 256 divisors, whose sum is σ = 75006673920. Its totient is φ = 5168701440.

The previous prime is 22114312433. The next prime is 22114312483. The reversal of 22114312440 is 4421341122.

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 22114312440.

It is a congruent number.

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, 5516917 + ... + 5520923.

It is an arithmetic number, because the mean of its divisors is an integer number (292994820).

Almost surely, 222114312440 is an apocalyptic number.

22114312440 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 22114312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37503336960).

22114312440 is an abundant number, since it is smaller than the sum of its proper divisors (52892361480).

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

22114312440 is a wasteful number, since it uses less digits than its factorization.

22114312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22114312440 its reverse (4421341122), we get a palindrome (26535653562).

The spelling of 22114312440 in words is "twenty-two billion, one hundred fourteen million, three hundred twelve thousand, four hundred forty".