233262240 has 96 divisors (see below), whose sum is σ = 773478720. Its totient is φ = 58927104.

The previous prime is 233262217. The next prime is 233262241. The reversal of 233262240 is 42262332.

It is a happy number.

233262240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233262240² = 108822545219635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233262240.

It is not an unprimeable number, because it can be changed into a prime (233262241) 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, 3669 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (8057070).

Almost surely, 2^233262240 is an apocalyptic number.

233262240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386739360).

233262240 is an abundant number, since it is smaller than the sum of its proper divisors (540216480).

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

233262240 is a wasteful number, since it uses less digits than its factorization.

233262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25614 (or 25606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 233262240 is about 15272.9250636543. The cubic root of 233262240 is about 615.5757184047.

The spelling of 233262240 in words is "two hundred thirty-three million, two hundred sixty-two thousand, two hundred forty".