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21922233505917 = 334492118704311
BaseRepresentation
bin1001111110000001010101…
…11100001101100001111101
32212121202010010221010202020
410333000222330031201331
510333133213234142132
6114342533545150353
74421554245154263
oct477005274154175
985552103833666
1021922233505917
116a921923368a8
12256081378b3b9
13c30347376624
1455b082852433
152803aa9ce52c
hex13f02af0d87d

21922233505917 has 8 divisors (see below), whose sum is σ = 29238119505600. Its totient is φ = 14610584921760.

The previous prime is 21922233505819. The next prime is 21922233505927. The reversal of 21922233505917 is 71950533222912.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21922233505917 - 222 = 21922229311613 is a prime.

It is a super-3 number, since 3×219222335059173 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 21922233505917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21922233505927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059341809 + ... + 1059362502.

It is an arithmetic number, because the mean of its divisors is an integer number (3654764938200).

Almost surely, 221922233505917 is an apocalyptic number.

It is an amenable number.

21922233505917 is a deficient number, since it is larger than the sum of its proper divisors (7315885999683).

21922233505917 is a wasteful number, since it uses less digits than its factorization.

21922233505917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118707763.

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 21922233505917 in words is "twenty-one trillion, nine hundred twenty-two billion, two hundred thirty-three million, five hundred five thousand, nine hundred seventeen".

Divisors: 1 3 3449 10347 2118704311 6356112933 7307411168639 21922233505917