114282630 has 256 divisors, whose sum is σ = 398131200. Its totient is φ = 22619520.

The previous prime is 114282583. The next prime is 114282643. The reversal of 114282630 is 36282411.

114282630 is a `hidden beast` number, since 1 + 1 + 4 + 28 + 2 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114282594 and 114282603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478051 + ... + 478289.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2^114282630 is an apocalyptic number.

114282630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114282630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

114282630 is an abundant number, since it is smaller than the sum of its proper divisors (283848570).

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

114282630 is a wasteful number, since it uses less digits than its factorization.

114282630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114282630 is about 10690.3054212684. The cubic root of 114282630 is about 485.2811350538.

The spelling of 114282630 in words is "one hundred fourteen million, two hundred eighty-two thousand, six hundred thirty".