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22220964864 = 210327536797
BaseRepresentation
bin10100101100011110…
…010000010000000000
32010100121122222021200
4110230132100100000
5331002031333424
614112544221200
71414441041060
oct245436202000
963317588250
1022220964864
11947317887a
12438190a800
132131869927
14110b25d3a0
158a0c298c9
hex52c790400

22220964864 has 528 divisors, whose sum is σ = 76609024128. Its totient is φ = 6072827904.

The previous prime is 22220964839. The next prime is 22220964919. The reversal of 22220964864 is 46846902222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229082064 + ... + 229082160.

Almost surely, 222220964864 is an apocalyptic number.

22220964864 is a gapful number since it is divisible by the number (24) 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 22220964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304512064).

22220964864 is an abundant number, since it is smaller than the sum of its proper divisors (54388059264).

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

22220964864 is a wasteful number, since it uses less digits than its factorization.

22220964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22220964864 in words is "twenty-two billion, two hundred twenty million, nine hundred sixty-four thousand, eight hundred sixty-four".