201224800 has 72 divisors (see below), whose sum is σ = 561432816. Its totient is φ = 68989440.

The previous prime is 201224789. The next prime is 201224809. The reversal of 201224800 is 8422102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201224809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12367 + ... + 23566.

It is an arithmetic number, because the mean of its divisors is an integer number (7797678).

Almost surely, 2^201224800 is an apocalyptic number.

201224800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201224800 is an abundant number, since it is smaller than the sum of its proper divisors (360208016).

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

201224800 is a wasteful number, since it uses less digits than its factorization.

201224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35960 (or 35947 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 201224800 is about 14185.3727480105. The cubic root of 201224800 is about 585.9948979742.

Adding to 201224800 its reverse (8422102), we get a palindrome (209646902).

The spelling of 201224800 in words is "two hundred one million, two hundred twenty-four thousand, eight hundred".