22782144 has 224 divisors, whose sum is σ = 79589376. Its totient is φ = 5575680.

The previous prime is 22782073. The next prime is 22782173. The reversal of 22782144 is 44128722.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339999 + ... + 340065.

Almost surely, 2^22782144 is an apocalyptic number.

22782144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794688).

22782144 is an abundant number, since it is smaller than the sum of its proper divisors (56807232).

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

22782144 is a wasteful number, since it uses less digits than its factorization.

22782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 22782144 is about 4773.0644244552. The cubic root of 22782144 is about 283.4859443899.

The spelling of 22782144 in words is "twenty-two million, seven hundred eighty-two thousand, one hundred forty-four".