22261824 has 112 divisors (see below), whose sum is σ = 70551040. Its totient is φ = 6842880.

The previous prime is 22261817. The next prime is 22261843. The reversal of 22261824 is 42816222.

It is a happy number.

22261824 is a `hidden beast` number, since 2 + 22 + 618 + 24 = 666.

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 zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21969 + ... + 22959.

It is an arithmetic number, because the mean of its divisors is an integer number (629920).

Almost surely, 2^22261824 is an apocalyptic number.

22261824 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 22261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35275520).

22261824 is an abundant number, since it is smaller than the sum of its proper divisors (48289216).

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

22261824 is a wasteful number, since it uses less digits than its factorization.

22261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1009 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22261824 is about 4718.2437410545. The cubic root of 22261824 is about 281.3111298236.

The spelling of 22261824 in words is "twenty-two million, two hundred sixty-one thousand, eight hundred twenty-four".