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22210112220000 = 253545913945137
BaseRepresentation
bin1010000110011001100011…
…10110010110101101100000
32220122021011220112001010220
411003030301312112231200
510402342302212020000
6115123103521123040
74451425166644635
oct503146166265540
986567156461126
1022210112220000
11709328a371631
1225a8575789480
13c51534b863b3
1456ad91c0418c
15287b08e611a0
hex143331d96b60

22210112220000 has 480 divisors, whose sum is σ = 74623080470400. Its totient is φ = 5780296704000.

The previous prime is 22210112219969. The next prime is 22210112220029. The reversal of 22210112220000 is 2221101222.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 492037432 + ... + 492082568.

It is an arithmetic number, because the mean of its divisors is an integer number (155464750980).

Almost surely, 222210112220000 is an apocalyptic number.

22210112220000 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 22210112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37311540235200).

22210112220000 is an abundant number, since it is smaller than the sum of its proper divisors (52412968250400).

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

22210112220000 is a wasteful number, since it uses less digits than its factorization.

22210112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45368 (or 45345 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22210112220000 its reverse (2221101222), we get a palindrome (22212333321222).

The spelling of 22210112220000 in words is "twenty-two trillion, two hundred ten billion, one hundred twelve million, two hundred twenty thousand".