233253948 has 48 divisors (see below), whose sum is σ = 569560320. Its totient is φ = 74156544.

The previous prime is 233253947. The next prime is 233253949. The reversal of 233253948 is 849352332.

233253948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233253947) and next prime (233253949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233253947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114636 + ... + 116652.

It is an arithmetic number, because the mean of its divisors is an integer number (11865840).

Almost surely, 2^233253948 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 233253948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284780160).

233253948 is an abundant number, since it is smaller than the sum of its proper divisors (336306372).

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

233253948 is a wasteful number, since it uses less digits than its factorization.

233253948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2464 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 233253948 is about 15272.6536004717. The cubic root of 233253948 is about 615.5684241617.

It can be divided in two parts, 2332 and 53948, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 233253948 in words is "two hundred thirty-three million, two hundred fifty-three thousand, nine hundred forty-eight".