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22002312120 = 2335717997337
BaseRepresentation
bin10100011111011100…
…001010001110111000
32002210101020021002220
4110133130022032320
5330030042441440
614035133524040
71406144365365
oct243734121670
962711207086
1022002312120
119370805828
124320643620
1320c84814c9
1410ca1c346c
1588b9388d0
hex51f70a3b8

22002312120 has 256 divisors, whose sum is σ = 68685926400. Its totient is φ = 5635768320.

The previous prime is 22002312097. The next prime is 22002312121. The reversal of 22002312120 is 2121320022.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22002312120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002312121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65288592 + ... + 65288928.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 222002312120 is an apocalyptic number.

22002312120 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 22002312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34342963200).

22002312120 is an abundant number, since it is smaller than the sum of its proper divisors (46683614280).

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

22002312120 is a wasteful number, since it uses less digits than its factorization.

22002312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22002312120 its reverse (2121320022), we get a palindrome (24123632142).

The spelling of 22002312120 in words is "twenty-two billion, two million, three hundred twelve thousand, one hundred twenty".