22945400 has 48 divisors (see below), whose sum is σ = 54505440. Its totient is φ = 8979200.

The previous prime is 22945399. The next prime is 22945451. The reversal of 22945400 is 454922.

22945400 = 946² + 947² + ... + 970².

It is a self number, because there is not a number n which added to its sum of digits gives 22945400.

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, 8180 + ... + 10620.

It is an arithmetic number, because the mean of its divisors is an integer number (1135530).

Almost surely, 2^22945400 is an apocalyptic number.

22945400 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 22945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252720).

22945400 is an abundant number, since it is smaller than the sum of its proper divisors (31560040).

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

22945400 is a wasteful number, since it uses less digits than its factorization.

22945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 22945400 is about 4790.1356974516. The cubic root of 22945400 is about 284.1614832470.

The spelling of 22945400 in words is "twenty-two million, nine hundred forty-five thousand, four hundred".