22024080 has 180 divisors, whose sum is σ = 80533908. Its totient is φ = 5391360.

The previous prime is 22024073. The next prime is 22024081. The reversal of 22024080 is 8042022.

It can be written as a sum of positive squares in 6 ways, for example, as 11370384 + 10653696 = 3372^2 + 3264^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121590 + ... + 121770.

Almost surely, 2^22024080 is an apocalyptic number.

22024080 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 22024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40266954).

22024080 is an abundant number, since it is smaller than the sum of its proper divisors (58509828).

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

22024080 is a wasteful number, since it uses less digits than its factorization.

22024080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22024080 is about 4692.9819944253. The cubic root of 22024080 is about 280.3061277694.

The spelling of 22024080 in words is "twenty-two million, twenty-four thousand, eighty".