22978080 has 168 divisors, whose sum is σ = 81804492. Its totient is φ = 6096384.

The previous prime is 22978069. The next prime is 22978091. The reversal of 22978080 is 8087922.

It is an interprime number because it is at equal distance from previous prime (22978069) and next prime (22978091).

It can be written as a sum of positive squares in 2 ways, for example, as 21566736 + 1411344 = 4644^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116542 + ... + 116738.

Almost surely, 2^22978080 is an apocalyptic number.

22978080 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 22978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40902246).

22978080 is an abundant number, since it is smaller than the sum of its proper divisors (58826412).

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

22978080 is an equidigital number, since it uses as much as digits as its factorization.

22978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 22978080 is about 4793.5456605732. The cubic root of 22978080 is about 284.2963249733.

The spelling of 22978080 in words is "twenty-two million, nine hundred seventy-eight thousand, eighty".