22961400 has 288 divisors, whose sum is σ = 91601280. Its totient is φ = 4704000.

The previous prime is 22961399. The next prime is 22961413. The reversal of 22961400 is 416922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323365 + ... + 323435.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^22961400 is an apocalyptic number.

22961400 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 22961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

22961400 is an abundant number, since it is smaller than the sum of its proper divisors (68639880).

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

22961400 is a wasteful number, since it uses less digits than its factorization.

22961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22961400 is about 4791.8055052350. The cubic root of 22961400 is about 284.2275172139.

The spelling of 22961400 in words is "twenty-two million, nine hundred sixty-one thousand, four hundred".