114223200 has 288 divisors, whose sum is σ = 458470656. Its totient is φ = 24053760.

The previous prime is 114223183. The next prime is 114223201. The reversal of 114223200 is 2322411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114223200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223201) 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 47 ways as a sum of consecutive naturals, for example, 218139 + ... + 218661.

It is an arithmetic number, because the mean of its divisors is an integer number (1591912).

Almost surely, 2^114223200 is an apocalyptic number.

114223200 is a gapful number since it is divisible by the number (10) 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 114223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229235328).

114223200 is an abundant number, since it is smaller than the sum of its proper divisors (344247456).

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

114223200 is a wasteful number, since it uses less digits than its factorization.

114223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114223200 is about 10687.5254385662. The cubic root of 114223200 is about 485.1970007791.

Adding to 114223200 its reverse (2322411), we get a palindrome (116545611).

It can be divided in two parts, 1142 and 23200, that added together give a palindrome (24342).

The spelling of 114223200 in words is "one hundred fourteen million, two hundred twenty-three thousand, two hundred".