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22150632000 = 263537131849
BaseRepresentation
bin10100101000010001…
…111101001001000000
32010011201022200201210
4110220101331021000
5330331030211000
614101552530120
71412625160020
oct245021751100
963151280653
1022150632000
1194374aa742
124362250940
132120112753
141101b91a80
15899985350
hex52847d240

22150632000 has 224 divisors, whose sum is σ = 83590790400. Its totient is φ = 5062963200.

The previous prime is 22150631999. The next prime is 22150632017. The reversal of 22150632000 is 23605122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102076 + ... + 233924.

Almost surely, 222150632000 is an apocalyptic number.

22150632000 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 22150632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41795395200).

22150632000 is an abundant number, since it is smaller than the sum of its proper divisors (61440158400).

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

22150632000 is a wasteful number, since it uses less digits than its factorization.

22150632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131886 (or 131866 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 22150632000 in words is "twenty-two billion, one hundred fifty million, six hundred thirty-two thousand".