233012700 has 216 divisors, whose sum is σ = 778505728. Its totient is φ = 60419520.

The previous prime is 233012687. The next prime is 233012711. The reversal of 233012700 is 7210332.

It is a super-2 number, since 2×233012700² = 108589836722580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1044789 + ... + 1045011.

Almost surely, 2^233012700 is an apocalyptic number.

233012700 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 233012700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389252864).

233012700 is an abundant number, since it is smaller than the sum of its proper divisors (545493028).

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

233012700 is a wasteful number, since it uses less digits than its factorization.

233012700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 233012700 is about 15264.7535191368. The cubic root of 233012700 is about 615.3561292503.

The spelling of 233012700 in words is "two hundred thirty-three million, twelve thousand, seven hundred".