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22130232120 = 233251759167367
BaseRepresentation
bin10100100111000100…
…001000101100111000
32010010021221021100200
4110213010020230320
5330310314411440
614055543402200
71412256604113
oct244704105470
963107837320
1022130232120
119426a36a37
124357453360
132118b1c309
1410dd1a157a
15897ca5c30
hex527108b38

22130232120 has 384 divisors, whose sum is σ = 78120806400. Its totient is φ = 5412630528.

The previous prime is 22130232101. The next prime is 22130232133. The reversal of 22130232120 is 2123203122.

22130232120 is a `hidden beast` number, since 2 + 21 + 302 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22130232093 and 22130232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60300177 + ... + 60300543.

It is an arithmetic number, because the mean of its divisors is an integer number (203439600).

Almost surely, 222130232120 is an apocalyptic number.

22130232120 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 22130232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060403200).

22130232120 is an abundant number, since it is smaller than the sum of its proper divisors (55990574280).

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

22130232120 is a wasteful number, since it uses less digits than its factorization.

22130232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22130232120 its reverse (2123203122), we get a palindrome (24253435242).

The spelling of 22130232120 in words is "twenty-two billion, one hundred thirty million, two hundred thirty-two thousand, one hundred twenty".