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22212112000 = 275313234643
BaseRepresentation
bin10100101011111100…
…011110111010000000
32010100000000012102211
4110223330132322000
5330442300041000
614112030351504
71414302560011
oct245374367200
963300005384
1022212112000
119469181561
12437a95b594
13212ca8a250
141109dd7008
158a007b7ba
hex52bf1ee80

22212112000 has 256 divisors, whose sum is σ = 62072075520. Its totient is φ = 7843123200.

The previous prime is 22212111919. The next prime is 22212112007. The reversal of 22212112000 is 21121222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (22212112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4781679 + ... + 4786321.

It is an arithmetic number, because the mean of its divisors is an integer number (242469045).

Almost surely, 222212112000 is an apocalyptic number.

22212112000 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 22212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31036037760).

22212112000 is an abundant number, since it is smaller than the sum of its proper divisors (39859963520).

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

22212112000 is a wasteful number, since it uses less digits than its factorization.

22212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22212112000 its reverse (21121222), we get a palindrome (22233233222).

The spelling of 22212112000 in words is "twenty-two billion, two hundred twelve million, one hundred twelve thousand".