22162000 has 80 divisors (see below), whose sum is σ = 61281792. Its totient is φ = 7593600.

The previous prime is 22161991. The next prime is 22162009. The reversal of 22162000 is 26122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22161991) and next prime (22162009).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22162009) 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, 13209 + ... + 14791.

Almost surely, 2^22162000 is an apocalyptic number.

22162000 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 22162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640896).

22162000 is an abundant number, since it is smaller than the sum of its proper divisors (39119792).

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

22162000 is a wasteful number, since it uses less digits than its factorization.

22162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22162000 is about 4707.6533432274. The cubic root of 22162000 is about 280.8900250574.

Adding to 22162000 its reverse (26122), we get a palindrome (22188122).

The spelling of 22162000 in words is "twenty-two million, one hundred sixty-two thousand".