22874400 has 180 divisors, whose sum is σ = 83654802. Its totient is φ = 6082560.

The previous prime is 22874393. The next prime is 22874407. The reversal of 22874400 is 447822.

It is an interprime number because it is at equal distance from previous prime (22874393) and next prime (22874407).

It can be written as a sum of positive squares in 3 ways, for example, as 15968016 + 6906384 = 3996^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (22874407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64624 + ... + 64976.

Almost surely, 2^22874400 is an apocalyptic number.

22874400 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 22874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827401).

22874400 is an abundant number, since it is smaller than the sum of its proper divisors (60780402).

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

22874400 is a wasteful number, since it uses less digits than its factorization.

22874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22874400 is about 4782.7188920111. The cubic root of 22874400 is about 283.8680865921.

The spelling of 22874400 in words is "twenty-two million, eight hundred seventy-four thousand, four hundred".