22834400 has 144 divisors (see below), whose sum is σ = 62433504. Its totient is φ = 8110080.

The previous prime is 22834391. The next prime is 22834403. The reversal of 22834400 is 443822.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22834403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312764 + ... + 312836.

It is an arithmetic number, because the mean of its divisors is an integer number (433566).

Almost surely, 2^22834400 is an apocalyptic number.

22834400 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 22834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216752).

22834400 is an abundant number, since it is smaller than the sum of its proper divisors (39599104).

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

22834400 is a wasteful number, since it uses less digits than its factorization.

22834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 22834400 is about 4778.5353404574. The cubic root of 22834400 is about 283.7025252587.

The spelling of 22834400 in words is "twenty-two million, eight hundred thirty-four thousand, four hundred".