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22982144 = 2944887
BaseRepresentation
bin101011110101…
…0111000000000
31121020121120112
41113222320000
521340412034
62140330452
7366226223
oct127527000
947217515
1022982144
1111a77909
127843a28
1349b8903
1430a35ba
15203e7ce
hex15eae00

22982144 has 20 divisors (see below), whose sum is σ = 45920424. Its totient is φ = 11490816.

The previous prime is 22982137. The next prime is 22982149. The reversal of 22982144 is 44128922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22982144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22982149) 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 as a sum of consecutive naturals, namely, 21932 + ... + 22955.

Almost surely, 222982144 is an apocalyptic number.

It is an amenable number.

22982144 is a deficient number, since it is larger than the sum of its proper divisors (22938280).

22982144 is an frugal number, since it uses more digits than its factorization.

22982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44905 (or 44889 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 22982144 is about 4793.9695451682. The cubic root of 22982144 is about 284.3130846004.

The spelling of 22982144 in words is "twenty-two million, nine hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 44887 89774 179548 359096 718192 1436384 2872768 5745536 11491072 22982144