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22693012164 = 223483692
BaseRepresentation
bin10101001000100110…
…111110001011000100
32011120111220110110000
4111020212332023010
5332433402342124
614231450001300
71432232264214
oct251046761304
964514813400
1022693012164
119695682a09
124493a16230
1321a85b5864
141153c1a244
158cc3c06c9
hex5489be2c4

22693012164 has 45 divisors (see below), whose sum is σ = 59331105757. Its totient is φ = 7563433536.

The previous prime is 22693012151. The next prime is 22693012211. The reversal of 22693012164 is 46121039622.

It is a happy number.

The square root of 22693012164 is 150642.

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., 16420372164 + 6272640000 = 128142^2 + 79200^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2707372 + ... + 2715740.

Almost surely, 222693012164 is an apocalyptic number.

22693012164 is the 150642-nd square number.

It is an amenable number.

22693012164 is an abundant number, since it is smaller than the sum of its proper divisors (36638093593).

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

22693012164 is an frugal number, since it uses more digits than its factorization.

22693012164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16754 (or 8374 counting only the distinct ones).

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

Multiplying 22693012164 by its sum of digits (36), we get a square (816948437904 = 9038522).

22693012164 divided by its sum of digits (36) gives a square (630361449 = 251072).

The spelling of 22693012164 in words is "twenty-two billion, six hundred ninety-three million, twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8369 16738 25107 33476 50214 75321 100428 150642 225963 301284 451926 677889 903852 1355778 2711556 70040161 140080322 210120483 280160644 420240966 630361449 840481932 1260722898 1891084347 2521445796 3782168694 5673253041 7564337388 11346506082 22693012164