22208880 has 160 divisors (see below), whose sum is σ = 73620288. Its totient is φ = 5529600.

The previous prime is 22208833. The next prime is 22208903. The reversal of 22208880 is 8880222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364050 + ... + 364110.

Almost surely, 2^22208880 is an apocalyptic number.

22208880 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 22208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810144).

22208880 is an abundant number, since it is smaller than the sum of its proper divisors (51411408).

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

22208880 is a wasteful number, since it uses less digits than its factorization.

22208880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 22208880 is about 4712.6298390601. The cubic root of 22208880 is about 281.0879441725.

It can be divided in two parts, 2220 and 8880, that multiplied together give a square (19713600 = 4440²).

The spelling of 22208880 in words is "twenty-two million, two hundred eight thousand, eight hundred eighty".