233180416 has 108 divisors (see below), whose sum is σ = 560986020. Its totient is φ = 96337920.

The previous prime is 233180399. The next prime is 233180461. The reversal of 233180416 is 614081332.

233180416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 61465600 = 13104^2 + 7840^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363456 + ... + 364096.

It is an arithmetic number, because the mean of its divisors is an integer number (5194315).

Almost surely, 2^233180416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280493010).

233180416 is an abundant number, since it is smaller than the sum of its proper divisors (327805604).

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

233180416 is an equidigital number, since it uses as much as digits as its factorization.

233180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 233180416 is about 15270.2461014877. The cubic root of 233180416 is about 615.5037325313.

The spelling of 233180416 in words is "two hundred thirty-three million, one hundred eighty thousand, four hundred sixteen".