22246400 has 132 divisors (see below), whose sum is σ = 60918720. Its totient is φ = 7987200.

The previous prime is 22246391. The next prime is 22246417. The reversal of 22246400 is 464222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281561 + ... + 281639.

Almost surely, 2^22246400 is an apocalyptic number.

22246400 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 22246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459360).

22246400 is an abundant number, since it is smaller than the sum of its proper divisors (38672320).

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

22246400 is a wasteful number, since it uses less digits than its factorization.

22246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 22246400 is about 4716.6089513548. The cubic root of 22246400 is about 281.2461464493.

The spelling of 22246400 in words is "twenty-two million, two hundred forty-six thousand, four hundred".