22161600 has 294 divisors, whose sum is σ = 86062820. Its totient is φ = 5598720.

The previous prime is 22161599. The next prime is 22161617. The reversal of 22161600 is 616122.

It is a happy number.

22161600 is a `hidden beast` number, since 2 + 2 + 1 + 61 + 600 = 666.

It is a super-2 number, since 2×22161600² = 982273029120000, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166391 + ... + 1166409.

Almost surely, 2^22161600 is an apocalyptic number.

22161600 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 22161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43031410).

22161600 is an abundant number, since it is smaller than the sum of its proper divisors (63901220).

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

22161600 is an equidigital number, since it uses as much as digits as its factorization.

22161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22161600 is about 4707.6108590239. The cubic root of 22161600 is about 280.8883351274. Note that the first 3 decimals are identical.

Adding to 22161600 its reverse (616122), we get a palindrome (22777722).

The spelling of 22161600 in words is "twenty-two million, one hundred sixty-one thousand, six hundred".