233014900 has 72 divisors (see below), whose sum is σ = 527216256. Its totient is φ = 89308800.

The previous prime is 233014897. The next prime is 233014907. The reversal of 233014900 is 9410332.

233014900 = 1² + 2² + ... + 887².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233014907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262257 + ... + 263143.

It is an arithmetic number, because the mean of its divisors is an integer number (7322448).

Almost surely, 2^233014900 is an apocalyptic number.

233014900 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 233014900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608128).

233014900 is an abundant number, since it is smaller than the sum of its proper divisors (294201356).

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

233014900 is a wasteful number, since it uses less digits than its factorization.

233014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 233014900 is about 15264.8255803989. The cubic root of 233014900 is about 615.3580658818.

The spelling of 233014900 in words is "two hundred thirty-three million, fourteen thousand, nine hundred".