114933000 has 256 divisors, whose sum is σ = 442391040. Its totient is φ = 24192000.

The previous prime is 114932977. The next prime is 114933011. The reversal of 114933000 is 339411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272790 + ... + 273210.

It is an arithmetic number, because the mean of its divisors is an integer number (1728090).

Almost surely, 2^114933000 is an apocalyptic number.

114933000 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 114933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221195520).

114933000 is an abundant number, since it is smaller than the sum of its proper divisors (327458040).

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

114933000 is a wasteful number, since it uses less digits than its factorization.

114933000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 114933000 is about 10720.6809485219. The cubic root of 114933000 is about 486.1999549784.

The spelling of 114933000 in words is "one hundred fourteen million, nine hundred thirty-three thousand".