23205006 has 48 divisors (see below), whose sum is σ = 55261440. Its totient is φ = 6978960.

The previous prime is 23204971. The next prime is 23205011. The reversal of 23205006 is 60050232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23205006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31915 + ... + 32633.

It is an arithmetic number, because the mean of its divisors is an integer number (1151280).

Almost surely, 2^23205006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23205006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630720).

23205006 is an abundant number, since it is smaller than the sum of its proper divisors (32056434).

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

23205006 is a wasteful number, since it uses less digits than its factorization.

23205006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23205006 is about 4817.1574605778. The cubic root of 23205006 is about 285.2291416658.

Adding to 23205006 its reverse (60050232), we get a palindrome (83255238).

The spelling of 23205006 in words is "twenty-three million, two hundred five thousand, six".