114400224 has 36 divisors (see below), whose sum is σ = 325326456. Its totient is φ = 38133312.

The previous prime is 114400217. The next prime is 114400249. The reversal of 114400224 is 422004411.

114400224 is a `hidden beast` number, since 1 + 1 + 440 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×114400224² = 26174822502500352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114400197 and 114400206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198324 + ... + 198899.

It is an arithmetic number, because the mean of its divisors is an integer number (9036846).

Almost surely, 2^114400224 is an apocalyptic number.

It is an amenable number.

114400224 is an abundant number, since it is smaller than the sum of its proper divisors (210926232).

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

114400224 is a wasteful number, since it uses less digits than its factorization.

114400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397239 (or 397228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114400224 is about 10695.8040370979. The cubic root of 114400224 is about 485.4475254252.

Adding to 114400224 its reverse (422004411), we get a palindrome (536404635).

The spelling of 114400224 in words is "one hundred fourteen million, four hundred thousand, two hundred twenty-four".