114234900 has 144 divisors (see below), whose sum is σ = 377100864. Its totient is φ = 26449920.

The previous prime is 114234893. The next prime is 114234937. The reversal of 114234900 is 9432411.

It is a super-2 number, since 2×114234900² = 26099224756020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 65439 + ... + 67161.

It is an arithmetic number, because the mean of its divisors is an integer number (2618756).

Almost surely, 2^114234900 is an apocalyptic number.

114234900 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 114234900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188550432).

114234900 is an abundant number, since it is smaller than the sum of its proper divisors (262865964).

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

114234900 is a wasteful number, since it uses less digits than its factorization.

114234900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114234900 is about 10688.0727916683. The cubic root of 114234900 is about 485.2135666230.

The spelling of 114234900 in words is "one hundred fourteen million, two hundred thirty-four thousand, nine hundred".