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222134433113340 = 22335112771237109139
BaseRepresentation
bin110010100000011110110011…
…111110100110010011111100
31002010111211210120120011002000
4302200132303332212103330
5213103422304334111330
62104235052204502300
764534453221423516
oct6240366376462374
91063454716504060
10222134433113340
1164862758506a30
1220ab718424a990
1396c4258266897
143cbd514894bb6
151aa335e041560
hexca07b3fa64fc

222134433113340 has 384 divisors, whose sum is σ = 757251108633600. Its totient is φ = 53612497105920.

The previous prime is 222134433113323. The next prime is 222134433113363. The reversal of 222134433113340 is 43311334431222.

222134433113340 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 4 + 4 + 3 + 311 + 334 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222134433113295 and 222134433113304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2035280491 + ... + 2035389629.

It is an arithmetic number, because the mean of its divisors is an integer number (1972008095400).

Almost surely, 2222134433113340 is an apocalyptic number.

222134433113340 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 222134433113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378625554316800).

222134433113340 is an abundant number, since it is smaller than the sum of its proper divisors (535116675520260).

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

222134433113340 is a wasteful number, since it uses less digits than its factorization.

222134433113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110682 (or 110674 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 222134433113340 its reverse (43311334431222), we get a palindrome (265445767544562).

The spelling of 222134433113340 in words is "two hundred twenty-two trillion, one hundred thirty-four billion, four hundred thirty-three million, one hundred thirteen thousand, three hundred forty".