233201102281 has 27 divisors (see below), whose sum is σ = 273698745831. Its totient is φ = 198116314704.

The previous prime is 233201102263. The next prime is 233201102353. The reversal of 233201102281 is 182201102332.

The square root of 233201102281 is 482909.

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

It can be written as a sum of positive squares in only one way, i.e., 27321114681 + 205879987600 = 165291^2 + 453740^2 .

It is not a de Polignac number, because 233201102281 - 2⁹ = 233201101769 is a prime.

It is a super-2 number, since 2×233201102281² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233201112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 503673856 + ... + 503674318.

Almost surely, 2^233201102281 is an apocalyptic number.

233201102281 is the 482909-th square number.

233201102281 is the 241455-th centered octagonal number.

It is an amenable number.

233201102281 is a deficient number, since it is larger than the sum of its proper divisors (40497643550).

233201102281 is an frugal number, since it uses more digits than its factorization.

233201102281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 233201102281 by its sum of digits (25), we get a square (5830027557025 = 2414545²).

The spelling of 233201102281 in words is "two hundred thirty-three billion, two hundred one million, one hundred two thousand, two hundred eighty-one".