22510500 has 96 divisors (see below), whose sum is σ = 67267200. Its totient is φ = 5846400.

The previous prime is 22510493. The next prime is 22510507. The reversal of 22510500 is 501522.

It is an interprime number because it is at equal distance from previous prime (22510493) and next prime (22510507).

It is a super-2 number, since 2×22510500² = 1013445220500000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22510500.

It is not an unprimeable number, because it can be changed into a prime (22510507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64326 + ... + 64674.

It is an arithmetic number, because the mean of its divisors is an integer number (700700).

Almost surely, 2^22510500 is an apocalyptic number.

22510500 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 22510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33633600).

22510500 is an abundant number, since it is smaller than the sum of its proper divisors (44756700).

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

22510500 is a wasteful number, since it uses less digits than its factorization.

22510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 22510500 is about 4744.5231583374. The cubic root of 22510500 is about 282.3547168495.

The spelling of 22510500 in words is "twenty-two million, five hundred ten thousand, five hundred".