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22113132000 = 2535318110181
BaseRepresentation
bin10100100110000010…
…111001110111100000
32010002002202111101220
4110212002321313200
5330241430211000
614054133055040
71411661343411
oct244602716740
963062674356
1022113132000
119418317403
124351787480
132115412abb
1410dabcd808
158965291a0
hex5260b9de0

22113132000 has 192 divisors, whose sum is σ = 72850010688. Its totient is φ = 5863680000.

The previous prime is 22113131951. The next prime is 22113132011. The reversal of 22113132000 is 23131122.

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 31 ways as a sum of consecutive naturals, for example, 2166910 + ... + 2177090.

It is an arithmetic number, because the mean of its divisors is an integer number (379427139).

Almost surely, 222113132000 is an apocalyptic number.

22113132000 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 22113132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36425005344).

22113132000 is an abundant number, since it is smaller than the sum of its proper divisors (50736878688).

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

22113132000 is a wasteful number, since it uses less digits than its factorization.

22113132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22113132000 its reverse (23131122), we get a palindrome (22136263122).

The spelling of 22113132000 in words is "twenty-two billion, one hundred thirteen million, one hundred thirty-two thousand".