22200080 has 80 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 7343616.

The previous prime is 22200077. The next prime is 22200119. The reversal of 22200080 is 8000222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 15557 + ... + 16923.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^22200080 is an apocalyptic number.

22200080 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 22200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

22200080 is an abundant number, since it is smaller than the sum of its proper divisors (38867440).

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

22200080 is a wasteful number, since it uses less digits than its factorization.

22200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22200080 is about 4711.6960852754. The cubic root of 22200080 is about 281.0508133688.

The spelling of 22200080 in words is "twenty-two million, two hundred thousand, eighty".