114204024 has 96 divisors (see below), whose sum is σ = 345749040. Its totient is φ = 33753600.

The previous prime is 114204023. The next prime is 114204037. The reversal of 114204024 is 420402411.

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 = 114203988 and 114204006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114204023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30714 + ... + 34230.

Almost surely, 2^114204024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172874520).

114204024 is an abundant number, since it is smaller than the sum of its proper divisors (231545016).

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

114204024 is a wasteful number, since it uses less digits than its factorization.

114204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3574 counting only the distinct ones).

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

The square root of 114204024 is about 10686.6282802388. The cubic root of 114204024 is about 485.1698473392.

Adding to 114204024 its reverse (420402411), we get a palindrome (534606435).

It can be divided in two parts, 11 and 4204024, that multiplied together give a palindrome (46244264).

The spelling of 114204024 in words is "one hundred fourteen million, two hundred four thousand, twenty-four".