22955400 has 240 divisors, whose sum is σ = 86648100. Its totient is φ = 5598720.

The previous prime is 22955399. The next prime is 22955417. The reversal of 22955400 is 455922.

It can be written as a sum of positive squares in 6 ways, for example, as 6260004 + 16695396 = 2502^2 + 4086^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 210546 + ... + 210654.

Almost surely, 2^22955400 is an apocalyptic number.

22955400 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 22955400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43324050).

22955400 is an abundant number, since it is smaller than the sum of its proper divisors (63692700).

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

22955400 is a wasteful number, since it uses less digits than its factorization.

22955400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 22955400 is about 4791.1793955142. The cubic root of 22955400 is about 284.2027580723.

The spelling of 22955400 in words is "twenty-two million, nine hundred fifty-five thousand, four hundred".