20233200 has 120 divisors (see below), whose sum is σ = 69853168. Its totient is φ = 4976640.

The previous prime is 20233193. The next prime is 20233207. The reversal of 20233200 is 233202.

It is an interprime number because it is at equal distance from previous prime (20233193) and next prime (20233207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14952 + ... + 16248.

Almost surely, 2^20233200 is an apocalyptic number.

20233200 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 20233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34926584).

20233200 is an abundant number, since it is smaller than the sum of its proper divisors (49619968).

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

20233200 is a wasteful number, since it uses less digits than its factorization.

20233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20233200 is about 4498.1329460122. The cubic root of 20233200 is about 272.4926912160.

Adding to 20233200 its reverse (233202), we get a palindrome (20466402).

The spelling of 20233200 in words is "twenty million, two hundred thirty-three thousand, two hundred".