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22038967314 = 232713176591201
BaseRepresentation
bin10100100001100111…
…111111010000010010
32002212221012112120200
4110201213333100102
5330113433423224
614042523320030
71410101063010
oct244147772022
962787175520
1022038967314
11938a471381
124330980016
132102c46780
1410d10058b0
1588ec795c9
hex5219ff412

22038967314 has 192 divisors, whose sum is σ = 62373991680. Its totient is φ = 5457715200.

The previous prime is 22038967271. The next prime is 22038967381. The reversal of 22038967314 is 41376983022.

It is a self number, because there is not a number n which added to its sum of digits gives 22038967314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18349914 + ... + 18351114.

It is an arithmetic number, because the mean of its divisors is an integer number (324864540).

Almost surely, 222038967314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22038967314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31186995840).

22038967314 is an abundant number, since it is smaller than the sum of its proper divisors (40335024366).

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

22038967314 is a wasteful number, since it uses less digits than its factorization.

22038967314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22038967314 in words is "twenty-two billion, thirty-eight million, nine hundred sixty-seven thousand, three hundred fourteen".