22713000 has 128 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 5913600.

The previous prime is 22712993. The next prime is 22713007. The reversal of 22713000 is 31722.

It is an interprime number because it is at equal distance from previous prime (22712993) and next prime (22713007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22713007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 200944 + ... + 201056.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^22713000 is an apocalyptic number.

22713000 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 22713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

22713000 is an abundant number, since it is smaller than the sum of its proper divisors (49845720).

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

22713000 is a wasteful number, since it uses less digits than its factorization.

22713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 22713000 is about 4765.8157748700. The cubic root of 22713000 is about 283.1988596781.

Adding to 22713000 its reverse (31722), we get a palindrome (22744722).

The spelling of 22713000 in words is "twenty-two million, seven hundred thirteen thousand".