233001400 has 48 divisors (see below), whose sum is σ = 549183600. Its totient is φ = 91918080.

The previous prime is 233001397. The next prime is 233001403. The reversal of 233001400 is 4100332.

It is an interprime number because it is at equal distance from previous prime (233001397) and next prime (233001403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233001403) 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, 6621 + ... + 22579.

It is an arithmetic number, because the mean of its divisors is an integer number (11441325).

Almost surely, 2^233001400 is an apocalyptic number.

233001400 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 233001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274591800).

233001400 is an abundant number, since it is smaller than the sum of its proper divisors (316182200).

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

233001400 is a wasteful number, since it uses less digits than its factorization.

233001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233001400 is about 15264.3833809296. The cubic root of 233001400 is about 615.3461818144.

Adding to 233001400 its reverse (4100332), we get a palindrome (237101732).

The spelling of 233001400 in words is "two hundred thirty-three million, one thousand, four hundred".