114660200 has 96 divisors (see below), whose sum is σ = 281734200. Its totient is φ = 43330560.

The previous prime is 114660191. The next prime is 114660211. The reversal of 114660200 is 2066411.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17322244 + 97337956 = 4162^2 + 9866^2 .

It is a super-2 number, since 2×114660200² = 26293922928080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307214 + ... + 307586.

Almost surely, 2^114660200 is an apocalyptic number.

114660200 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 114660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140867100).

114660200 is an abundant number, since it is smaller than the sum of its proper divisors (167074000).

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

114660200 is a wasteful number, since it uses less digits than its factorization.

114660200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 114660200 is about 10707.9503174044. The cubic root of 114660200 is about 485.8149758297.

The spelling of 114660200 in words is "one hundred fourteen million, six hundred sixty thousand, two hundred".