22150400 has 54 divisors (see below), whose sum is σ = 54841542. Its totient is φ = 8857600.

The previous prime is 22150393. The next prime is 22150423. The reversal of 22150400 is 405122.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 21977344 = 416^2 + 4688^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4670 + ... + 8130.

Almost surely, 2^22150400 is an apocalyptic number.

22150400 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 22150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420771).

22150400 is an abundant number, since it is smaller than the sum of its proper divisors (32691142).

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

22150400 is an equidigital number, since it uses as much as digits as its factorization.

22150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22150400 is about 4706.4211456265. The cubic root of 22150400 is about 280.8410088293.

Adding to 22150400 its reverse (405122), we get a palindrome (22555522).

The spelling of 22150400 in words is "twenty-two million, one hundred fifty thousand, four hundred".