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22010191323168 = 25319291014119833
BaseRepresentation
bin1010000000100101001011…
…01000101010000000100000
32212221011011002002012210110
411000102211220222000200
510341103332434320133
6114451201534331320
74431120026240256
oct500224550520040
985834132065713
1022010191323168
117016519219854
122575880659b40
13c38724072339
145614284345d6
15282807914c63
hex1404a5a2a020

22010191323168 has 192 divisors, whose sum is σ = 63537727881600. Its totient is φ = 6644465049600.

The previous prime is 22010191323163. The next prime is 22010191323221. The reversal of 22010191323168 is 86132319101022.

It is a super-2 number, since 2×220101913231682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22010191323163) by changing a digit.

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, 3282580 + ... + 7402412.

It is an arithmetic number, because the mean of its divisors is an integer number (330925666050).

Almost surely, 222010191323168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010191323168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31768863940800).

22010191323168 is an abundant number, since it is smaller than the sum of its proper divisors (41527536558432).

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

22010191323168 is a wasteful number, since it uses less digits than its factorization.

22010191323168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119995 (or 4119987 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 22010191323168 in words is "twenty-two trillion, ten billion, one hundred ninety-one million, three hundred twenty-three thousand, one hundred sixty-eight".