233189040 has 240 divisors, whose sum is σ = 854945280. Its totient is φ = 52416000.

The previous prime is 233188999. The next prime is 233189053. The reversal of 233189040 is 40981332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×233189040² = 108754256752243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233188989 and 233189007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928915 + ... + 929165.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^233189040 is an apocalyptic number.

233189040 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 233189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

233189040 is an abundant number, since it is smaller than the sum of its proper divisors (621756240).

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

233189040 is a wasteful number, since it uses less digits than its factorization.

233189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 233189040 is about 15270.5284780848. The cubic root of 233189040 is about 615.5113204166.

The spelling of 233189040 in words is "two hundred thirty-three million, one hundred eighty-nine thousand, forty".