22013200 has 60 divisors (see below), whose sum is σ = 57706128. Its totient is φ = 8003200.

The previous prime is 22013161. The next prime is 22013203. The reversal of 22013200 is 231022.

22013200 = 53² + 54² + ... + 404².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22013203) 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, 1899 + ... + 6901.

Almost surely, 2^22013200 is an apocalyptic number.

22013200 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 22013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853064).

22013200 is an abundant number, since it is smaller than the sum of its proper divisors (35692928).

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

22013200 is a wasteful number, since it uses less digits than its factorization.

22013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 22013200 is about 4691.8226735460. The cubic root of 22013200 is about 280.2599626477.

Adding to 22013200 its reverse (231022), we get a palindrome (22244222).

The spelling of 22013200 in words is "twenty-two million, thirteen thousand, two hundred".