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22916321064 = 2335713281461
BaseRepresentation
bin10101010101111010…
…110100111100101000
32012011002002201200000
4111111322310330220
5333413034233224
614305544143000
71440613341450
oct252572647450
965132081600
1022916321064
11979a73621a
124536767a60
1322129413c0
141175748d60
158e1cd10c9
hex555eb4f28

22916321064 has 384 divisors, whose sum is σ = 79671271680. Its totient is φ = 6009292800.

The previous prime is 22916321063. The next prime is 22916321167. The reversal of 22916321064 is 46012361922.

It is a happy number.

22916321064 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 632 + 10 + 6 + 4 = 666.

It is a super-2 number, since 2×229163210642 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22916321063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49709794 + ... + 49710254.

It is an arithmetic number, because the mean of its divisors is an integer number (207477270).

Almost surely, 222916321064 is an apocalyptic number.

22916321064 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 22916321064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39835635840).

22916321064 is an abundant number, since it is smaller than the sum of its proper divisors (56754950616).

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

22916321064 is a wasteful number, since it uses less digits than its factorization.

22916321064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 22916321064 its reverse (46012361922), we get a palindrome (68928682986).

The spelling of 22916321064 in words is "twenty-two billion, nine hundred sixteen million, three hundred twenty-one thousand, sixty-four".