22824180 has 120 divisors (see below), whose sum is σ = 72957192. Its totient is φ = 5971968.

The previous prime is 22824173. The next prime is 22824181. The reversal of 22824180 is 8142822.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 21734244 = 1044^2 + 4662^2 .

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 (22824181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118164 + ... + 118356.

Almost surely, 2^22824180 is an apocalyptic number.

22824180 is a gapful number since it is divisible by the number (20) 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 22824180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36478596).

22824180 is an abundant number, since it is smaller than the sum of its proper divisors (50133012).

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

22824180 is a wasteful number, since it uses less digits than its factorization.

22824180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22824180 is about 4777.4658554510. The cubic root of 22824180 is about 283.6601933314.

The spelling of 22824180 in words is "twenty-two million, eight hundred twenty-four thousand, one hundred eighty".