22166160 has 80 divisors (see below), whose sum is σ = 72346560. Its totient is φ = 5598720.

The previous prime is 22166159. The next prime is 22166161. The reversal of 22166160 is 6166122.

It is an interprime number because it is at equal distance from previous prime (22166159) and next prime (22166161).

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

It is a super-3 number, since 3×22166160³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22166160.

It is not an unprimeable number, because it can be changed into a prime (22166161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130 + ... + 6990.

It is an arithmetic number, because the mean of its divisors is an integer number (904332).

Almost surely, 2^22166160 is an apocalyptic number.

22166160 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 22166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36173280).

22166160 is an abundant number, since it is smaller than the sum of its proper divisors (50180400).

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

22166160 is a wasteful number, since it uses less digits than its factorization.

22166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22166160 is about 4708.0951562176. The cubic root of 22166160 is about 280.9075991241.

The spelling of 22166160 in words is "twenty-two million, one hundred sixty-six thousand, one hundred sixty".