22010400 has 144 divisors (see below), whose sum is σ = 79682400. Its totient is φ = 5863680.

The previous prime is 22010389. The next prime is 22010407. The reversal of 22010400 is 401022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22010407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21091 + ... + 22109.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^22010400 is an apocalyptic number.

22010400 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 22010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

22010400 is an abundant number, since it is smaller than the sum of its proper divisors (57672000).

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

22010400 is a wasteful number, since it uses less digits than its factorization.

22010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22010400 is about 4691.5242725579. The cubic root of 22010400 is about 280.2480794569.

Adding to 22010400 its reverse (401022), we get a palindrome (22411422).

The spelling of 22010400 in words is "twenty-two million, ten thousand, four hundred".