22320180 has 36 divisors (see below), whose sum is σ = 67705092. Its totient is φ = 5952000.

The previous prime is 22320131. The next prime is 22320187. The reversal of 22320180 is 8102322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 15539364 = 2604^2 + 3942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×22320180³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61821 + ... + 62180.

It is an arithmetic number, because the mean of its divisors is an integer number (1880697).

Almost surely, 2^22320180 is an apocalyptic number.

22320180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320180 is an abundant number, since it is smaller than the sum of its proper divisors (45384912).

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

22320180 is a wasteful number, since it uses less digits than its factorization.

22320180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124016 (or 124011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22320180 is about 4724.4237743877. The cubic root of 22320180 is about 281.5567201962.

It can be divided in two parts, 22320 and 180, that added together give a square (22500 = 150²).

The spelling of 22320180 in words is "twenty-two million, three hundred twenty thousand, one hundred eighty".