22833144 has 64 divisors (see below), whose sum is σ = 65162400. Its totient is φ = 7402752.

The previous prime is 22833137. The next prime is 22833149. The reversal of 22833144 is 44133822.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (22833149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6564 + ... + 9420.

Almost surely, 2^22833144 is an apocalyptic number.

22833144 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 22833144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32581200).

22833144 is an abundant number, since it is smaller than the sum of its proper divisors (42329256).

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

22833144 is a wasteful number, since it uses less digits than its factorization.

22833144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2899 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 22833144 is about 4778.4039176277. The cubic root of 22833144 is about 283.6973235031.

Adding to 22833144 its reverse (44133822), we get a palindrome (66966966).

The spelling of 22833144 in words is "twenty-two million, eight hundred thirty-three thousand, one hundred forty-four".