23205240 has 96 divisors (see below), whose sum is σ = 76536720. Its totient is φ = 6096384.

The previous prime is 23205239. The next prime is 23205269. The reversal of 23205240 is 4250232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25839 + ... + 26721.

Almost surely, 2^23205240 is an apocalyptic number.

23205240 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 23205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38268360).

23205240 is an abundant number, since it is smaller than the sum of its proper divisors (53331480).

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

23205240 is a wasteful number, since it uses less digits than its factorization.

23205240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23205240 is about 4817.1817486991. The cubic root of 23205240 is about 285.2301004158.

Adding to 23205240 its reverse (4250232), we get a palindrome (27455472).

The spelling of 23205240 in words is "twenty-three million, two hundred five thousand, two hundred forty".