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114256296 = 233271137557
BaseRepresentation
bin1101100111101…
…10100110101000
321221222211011200
412303312212220
5213222200141
615200524200
72555106510
oct663664650
9257884150
10114256296
11595494a0
1232320660
131a89579b
1411262840
15a06dab6
hex6cf69a8

114256296 has 192 divisors, whose sum is σ = 396938880. Its totient is φ = 28823040.

The previous prime is 114256283. The next prime is 114256301. The reversal of 114256296 is 692652411.

114256296 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 562 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114256296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204850 + ... + 205406.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2114256296 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 114256296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

114256296 is an abundant number, since it is smaller than the sum of its proper divisors (282682584).

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

114256296 is a wasteful number, since it uses less digits than its factorization.

114256296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 114256296 is about 10689.0736736164. The cubic root of 114256296 is about 485.2438579537.

The spelling of 114256296 in words is "one hundred fourteen million, two hundred fifty-six thousand, two hundred ninety-six".