114200000 has 84 divisors (see below), whose sum is σ = 283747464. Its totient is φ = 45600000.

The previous prime is 114199997. The next prime is 114200003. The reversal of 114200000 is 2411.

It is an interprime number because it is at equal distance from previous prime (114199997) and next prime (114200003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114200003) 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 11 ways as a sum of consecutive naturals, for example, 199715 + ... + 200285.

It is an arithmetic number, because the mean of its divisors is an integer number (3377946).

Almost surely, 2^114200000 is an apocalyptic number.

114200000 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 114200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141873732).

114200000 is an abundant number, since it is smaller than the sum of its proper divisors (169547464).

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

114200000 is an frugal number, since it uses more digits than its factorization.

114200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 114200000 is about 10686.4400059140. The cubic root of 114200000 is about 485.1641489224.

Adding to 114200000 its reverse (2411), we get a palindrome (114202411).

The spelling of 114200000 in words is "one hundred fourteen million, two hundred thousand".