233155200 has 192 divisors, whose sum is σ = 777852000. Its totient is φ = 61378560.

The previous prime is 233155193. The next prime is 233155207. The reversal of 233155200 is 2551332.

It is an interprime number because it is at equal distance from previous prime (233155193) and next prime (233155207).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×233155200² = 108722694574080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233155207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430319 + ... + 1430481.

Almost surely, 2^233155200 is an apocalyptic number.

233155200 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 233155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388926000).

233155200 is an abundant number, since it is smaller than the sum of its proper divisors (544696800).

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

233155200 is a wasteful number, since it uses less digits than its factorization.

233155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 233155200 is about 15269.4204212210. The cubic root of 233155200 is about 615.4815449882.

The spelling of 233155200 in words is "two hundred thirty-three million, one hundred fifty-five thousand, two hundred".