98233200 has 180 divisors, whose sum is σ = 367294200. Its totient is φ = 24168960.

The previous prime is 98233183. The next prime is 98233217. The reversal of 98233200 is 233289.

It is an interprime number because it is at equal distance from previous prime (98233183) and next prime (98233217).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45751 + ... + 47849.

Almost surely, 2^98233200 is an apocalyptic number.

98233200 is a gapful number since it is divisible by the number (90) 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 98233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183647100).

98233200 is an abundant number, since it is smaller than the sum of its proper divisors (269061000).

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

98233200 is a wasteful number, since it uses less digits than its factorization.

98233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 98233200 is about 9911.2663166722. The cubic root of 98233200 is about 461.4090380698.

Adding to 98233200 its reverse (233289), we get a palindrome (98466489).

The spelling of 98233200 in words is "ninety-eight million, two hundred thirty-three thousand, two hundred".