114431200 has 72 divisors (see below), whose sum is σ = 300871368. Its totient is φ = 42247680.

The previous prime is 114431189. The next prime is 114431201. The reversal of 114431200 is 2134411.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114431201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4899 + ... + 15901.

It is an arithmetic number, because the mean of its divisors is an integer number (4178769).

Almost surely, 2^114431200 is an apocalyptic number.

114431200 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 114431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150435684).

114431200 is an abundant number, since it is smaller than the sum of its proper divisors (186440168).

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

114431200 is a wasteful number, since it uses less digits than its factorization.

114431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114431200 is about 10697.2519835704. The cubic root of 114431200 is about 485.4913361365.

Adding to 114431200 its reverse (2134411), we get a palindrome (116565611).

The spelling of 114431200 in words is "one hundred fourteen million, four hundred thirty-one thousand, two hundred".