22765400 has 144 divisors (see below), whose sum is σ = 64884240. Its totient is φ = 7392000.

The previous prime is 22765387. The next prime is 22765403. The reversal of 22765400 is 456722.

It is a self number, because there is not a number n which added to its sum of digits gives 22765400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22765403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225350 + ... + 225450.

It is an arithmetic number, because the mean of its divisors is an integer number (450585).

Almost surely, 2^22765400 is an apocalyptic number.

22765400 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 22765400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442120).

22765400 is an abundant number, since it is smaller than the sum of its proper divisors (42118840).

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

22765400 is a wasteful number, since it uses less digits than its factorization.

22765400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 22765400 is about 4771.3100926266. The cubic root of 22765400 is about 283.4164769449.

The spelling of 22765400 in words is "twenty-two million, seven hundred sixty-five thousand, four hundred".