233314164 has 36 divisors (see below), whose sum is σ = 610105860. Its totient is φ = 75089280.

The previous prime is 233314163. The next prime is 233314181. The reversal of 233314164 is 461413332.

It can be written as a sum of positive squares in 2 ways, for example, as 156050064 + 77264100 = 12492^2 + 8790^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233314163) 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, 110697 + ... + 112784.

It is an arithmetic number, because the mean of its divisors is an integer number (16947385).

Almost surely, 2^233314164 is an apocalyptic number.

It is an amenable number.

233314164 is an abundant number, since it is smaller than the sum of its proper divisors (376791696).

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

233314164 is a wasteful number, since it uses less digits than its factorization.

233314164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223520 (or 223515 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 233314164 is about 15274.6248399101. The cubic root of 233314164 is about 615.6213905807.

Adding to 233314164 its reverse (461413332), we get a palindrome (694727496).

It can be divided in two parts, 23331 and 4164, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 233314164 in words is "two hundred thirty-three million, three hundred fourteen thousand, one hundred sixty-four".