22456224 has 192 divisors, whose sum is σ = 77414400. Its totient is φ = 6200064.

The previous prime is 22456223. The next prime is 22456229. The reversal of 22456224 is 42265422.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22456223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284217 + ... + 284295.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^22456224 is an apocalyptic number.

22456224 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 22456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

22456224 is an abundant number, since it is smaller than the sum of its proper divisors (54958176).

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

22456224 is a wasteful number, since it uses less digits than its factorization.

22456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 22456224 is about 4738.7998480628. The cubic root of 22456224 is about 282.1276018274.

The spelling of 22456224 in words is "twenty-two million, four hundred fifty-six thousand, two hundred twenty-four".