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22123164 = 22371032557
BaseRepresentation
bin101010001100…
…1001010011100
31112121222021110
41110121022130
521130420124
62110102020
7356021010
oct124311234
945558243
1022123164
1111540508
1274aa910
13477793b
142d1c540
151e20029
hex151929c

22123164 has 48 divisors (see below), whose sum is σ = 59591168. Its totient is φ = 6257088.

The previous prime is 22123133. The next prime is 22123169. The reversal of 22123164 is 46132122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22123164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7374 + ... + 9930.

Almost surely, 222123164 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 22123164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795584).

22123164 is an abundant number, since it is smaller than the sum of its proper divisors (37468004).

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

22123164 is a wasteful number, since it uses less digits than its factorization.

22123164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2672 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 22123164 is about 4703.5267619096. The cubic root of 22123164 is about 280.7258548078.

Adding to 22123164 its reverse (46132122), we get a palindrome (68255286).

The spelling of 22123164 in words is "twenty-two million, one hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2557 2884 4326 5114 7671 8652 10228 15342 17899 30684 35798 53697 71596 107394 214788 263371 526742 790113 1053484 1580226 1843597 3160452 3687194 5530791 7374388 11061582 22123164