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22392144 = 2432155501
BaseRepresentation
bin101010101101…
…0110101010000
31120010122020200
41111122311100
521213022034
62115535200
7361221135
oct125326520
946118220
1022392144
1111704605
1275ba500
1348401b8
142d8c58c
151e74a99
hex155ad50

22392144 has 30 divisors (see below), whose sum is σ = 62667306. Its totient is φ = 7464000.

The previous prime is 22392143. The next prime is 22392151. The reversal of 22392144 is 44129322.

It can be written as a sum of positive squares in only one way, i.e., 20142144 + 2250000 = 4488^2 + 1500^2 .

It is a super-2 number, since 2×223921442 = 1002816225833472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22392143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77607 + ... + 77894.

Almost surely, 222392144 is an apocalyptic number.

22392144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22392144 is an abundant number, since it is smaller than the sum of its proper divisors (40275162).

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

22392144 is a wasteful number, since it uses less digits than its factorization.

22392144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155515 (or 155506 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22392144 is about 4732.0338122207. The cubic root of 22392144 is about 281.8589909181.

The spelling of 22392144 in words is "twenty-two million, three hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 155501 311002 466503 622004 933006 1244008 1399509 1866012 2488016 2799018 3732024 5598036 7464048 11196072 22392144