22451000 has 128 divisors (see below), whose sum is σ = 62112960. Its totient is φ = 7488000.

The previous prime is 22450997. The next prime is 22451003. The reversal of 22451000 is 15422.

It is an interprime number because it is at equal distance from previous prime (22450997) and next prime (22451003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22451003) 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, 142922 + ... + 143078.

Almost surely, 2^22451000 is an apocalyptic number.

22451000 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 22451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056480).

22451000 is an abundant number, since it is smaller than the sum of its proper divisors (39661960).

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

22451000 is a wasteful number, since it uses less digits than its factorization.

22451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22451000 is about 4738.2486215900. The cubic root of 22451000 is about 282.1057229800.

Adding to 22451000 its reverse (15422), we get a palindrome (22466422).

The spelling of 22451000 in words is "twenty-two million, four hundred fifty-one thousand".