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2122260456630 = 2351719231371843
BaseRepresentation
bin11110111000100000100…
…101001010010010110110
321111212220222110120000110
4132320200211022102312
5234232342134103010
64302541502523450
7306220410145026
oct36704045122266
97455828416013
102122260456630
11749055778486
122a3384896586
13125188b59b32
1474a0a0cda86
153a311643120
hex1ee2094a4b6

2122260456630 has 192 divisors, whose sum is σ = 5875444574208. Its totient is φ = 488332661760.

The previous prime is 2122260456629. The next prime is 2122260456691. The reversal of 2122260456630 is 366540622212.

It is a super-2 number, since 2×21222604566302 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5521489 + ... + 5893331.

It is an arithmetic number, because the mean of its divisors is an integer number (30601273824).

Almost surely, 22122260456630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122260456630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937722287104).

2122260456630 is an abundant number, since it is smaller than the sum of its proper divisors (3753184117578).

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

2122260456630 is a wasteful number, since it uses less digits than its factorization.

2122260456630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371939 (or 371920 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 2122260456630 in words is "two trillion, one hundred twenty-two billion, two hundred sixty million, four hundred fifty-six thousand, six hundred thirty".