22460100 has 108 divisors (see below), whose sum is σ = 70526736. Its totient is φ = 5516160.

The previous prime is 22460099. The next prime is 22460101. The reversal of 22460100 is 106422.

It is an interprime number because it is at equal distance from previous prime (22460099) and next prime (22460101).

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 22460100.

It is not an unprimeable number, because it can be changed into a prime (22460101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50479 + ... + 50921.

Almost surely, 2^22460100 is an apocalyptic number.

22460100 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 22460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35263368).

22460100 is an abundant number, since it is smaller than the sum of its proper divisors (48066636).

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

22460100 is a wasteful number, since it uses less digits than its factorization.

22460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22460100 is about 4739.2087947251. The cubic root of 22460100 is about 282.1438328683.

Adding to 22460100 its reverse (106422), we get a palindrome (22566522).

The spelling of 22460100 in words is "twenty-two million, four hundred sixty thousand, one hundred".