233883468225 has 135 divisors (see below), whose sum is σ = 476686198681. Its totient is φ = 113281977600.

The previous prime is 233883468223. The next prime is 233883468233. The reversal of 233883468225 is 522864388332.

The square root of 233883468225 is 483615.

It is a perfect power (a square), and thus also a powerful number.

233883468225 is a `hidden beast` number, since 2 + 3 + 388 + 34 + 6 + 8 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33290556849 + 200592911376 = 182457^2 + 447876^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 233883468225 - 2¹ = 233883468223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233883468223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 239388937 + ... + 239389913.

Almost surely, 2^233883468225 is an apocalyptic number.

233883468225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233883468225 is the 483615-th square number.

233883468225 is the 241808-th centered octagonal number.

It is an amenable number.

233883468225 is an abundant number, since it is smaller than the sum of its proper divisors (242802730456).

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

233883468225 is an frugal number, since it uses more digits than its factorization.

233883468225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 996 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 233883468225 in words is "two hundred thirty-three billion, eight hundred eighty-three million, four hundred sixty-eight thousand, two hundred twenty-five".