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114245712 = 243271759113
BaseRepresentation
bin1101100111101…
…00000001010000
321221222021122200
412303310001100
5213221330322
615200403200
72555033610
oct663640120
9257867580
10114245712
1159541549
1232316500
131a890a19
141125ca40
15a06a8ac
hex6cf4050

114245712 has 240 divisors, whose sum is σ = 396938880. Its totient is φ = 29933568.

The previous prime is 114245707. The next prime is 114245717. The reversal of 114245712 is 217542411.

It is an interprime number because it is at equal distance from previous prime (114245707) and next prime (114245717).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114245717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010968 + ... + 1011080.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2114245712 is an apocalyptic number.

114245712 is a gapful number since it is divisible by the number (12) 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 114245712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

114245712 is an abundant number, since it is smaller than the sum of its proper divisors (282693168).

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

114245712 is a wasteful number, since it uses less digits than its factorization.

114245712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 114245712 is about 10688.5785771542. The cubic root of 114245712 is about 485.2288741562.

The spelling of 114245712 in words is "one hundred fourteen million, two hundred forty-five thousand, seven hundred twelve".