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22342144 = 29113967
BaseRepresentation
bin101010100111…
…0101000000000
31120001002122211
41111032220000
521204422034
62114511504
7360622306
oct125165000
946032584
1022342144
111167aa90
127595594
134823506
142d78276
151e64d64
hex154ea00

22342144 has 40 divisors (see below), whose sum is σ = 48711168. Its totient is φ = 10152960.

The previous prime is 22342139. The next prime is 22342183. The reversal of 22342144 is 44124322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3649 + ... + 7615.

Almost surely, 222342144 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 22342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584).

22342144 is an abundant number, since it is smaller than the sum of its proper divisors (26369024).

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

22342144 is an equidigital number, since it uses as much as digits as its factorization.

22342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3980 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 22342144 is about 4726.7477190982. The cubic root of 22342144 is about 281.6490444880.

Adding to 22342144 its reverse (44124322), we get a palindrome (66466466).

The spelling of 22342144 in words is "twenty-two million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 3967 5632 7934 15868 31736 43637 63472 87274 126944 174548 253888 349096 507776 698192 1015552 1396384 2031104 2792768 5585536 11171072 22342144