233126740224 has 405 divisors, whose sum is σ = 810325985007. Its totient is φ = 66468584448.

The previous prime is 233126740213. The next prime is 233126740261. The reversal of 233126740224 is 422047621332.

The square root of 233126740224 is 482832.

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

233126740224 is a `hidden beast` number, since 2 + 331 + 2 + 67 + 40 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 486694417 + ... + 486694895.

Almost surely, 2^233126740224 is an apocalyptic number.

233126740224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

233126740224 is the 482832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233126740224

233126740224 is an abundant number, since it is smaller than the sum of its proper divisors (577199244783).

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

233126740224 is an frugal number, since it uses more digits than its factorization.

233126740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 233126740224 by its sum of digits (36), we get a square (8392562648064 = 2896992²).

233126740224 divided by its sum of digits (36) gives a square (6475742784 = 80472²).

The spelling of 233126740224 in words is "two hundred thirty-three billion, one hundred twenty-six million, seven hundred forty thousand, two hundred twenty-four".