23440100 has 36 divisors (see below), whose sum is σ = 51223284. Its totient is φ = 9310080.

The previous prime is 23440099. The next prime is 23440133. The reversal of 23440100 is 104432.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 23406244 = 184^2 + 4838^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14954 + ... + 16446.

It is an arithmetic number, because the mean of its divisors is an integer number (1422869).

Almost surely, 2^23440100 is an apocalyptic number.

23440100 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 23440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25611642).

23440100 is an abundant number, since it is smaller than the sum of its proper divisors (27783184).

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

23440100 is a wasteful number, since it uses less digits than its factorization.

23440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23440100 is about 4841.4977021579. The cubic root of 23440100 is about 286.1891424943.

Adding to 23440100 its reverse (104432), we get a palindrome (23544532).

The spelling of 23440100 in words is "twenty-three million, four hundred forty thousand, one hundred".