233144720 has 20 divisors (see below), whose sum is σ = 542061660. Its totient is φ = 93257856.

The previous prime is 233144713. The next prime is 233144729. The reversal of 233144720 is 27441332.

It can be written as a sum of positive squares in 2 ways, for example, as 35236096 + 197908624 = 5936^2 + 14068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 233144720.

It is not an unprimeable number, because it can be changed into a prime (233144729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1457075 + ... + 1457234.

It is an arithmetic number, because the mean of its divisors is an integer number (27103083).

Almost surely, 2^233144720 is an apocalyptic number.

233144720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233144720 is an abundant number, since it is smaller than the sum of its proper divisors (308916940).

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

233144720 is a wasteful number, since it uses less digits than its factorization.

233144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914322 (or 2914316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 233144720 is about 15269.0772478235. The cubic root of 233144720 is about 615.4723231719.

The spelling of 233144720 in words is "two hundred thirty-three million, one hundred forty-four thousand, seven hundred twenty".