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22057893361 = 764332
BaseRepresentation
bin10100100010110000…
…001011110111110001
32002221020211002020101
4110202300023313301
5330133310041421
614044441112401
71410421000000
oct244260136761
962836732211
1022057893361
11939a118839
124337188701
132106b4210a
1410d3730c37
15891767191
hex522c0bdf1

22057893361 has 21 divisors (see below), whose sum is σ = 25793747211. Its totient is φ = 18863101152.

The previous prime is 22057893301. The next prime is 22057893373. The reversal of 22057893361 is 16339875022.

The square root of 22057893361 is 148519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2473570225 + 19584323136 = 49735^2 + 139944^2 .

It is not a de Polignac number, because 22057893361 - 215 = 22057860593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22057893301) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 50941801 + ... + 50942233.

Almost surely, 222057893361 is an apocalyptic number.

22057893361 is the 148519-th square number.

22057893361 is the 74260-th centered octagonal number.

It is an amenable number.

22057893361 is a deficient number, since it is larger than the sum of its proper divisors (3735853850).

22057893361 is an frugal number, since it uses more digits than its factorization.

22057893361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 22057893361 in words is "twenty-two billion, fifty-seven million, eight hundred ninety-three thousand, three hundred sixty-one".

Divisors: 1 7 49 343 433 2401 3031 16807 21217 117649 148519 187489 1039633 1312423 7277431 9186961 50942017 64308727 450161089 3151127623 22057893361