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114218020 = 22572116549
BaseRepresentation
bin1101100111011…
…01010000100100
321221220212200001
412303231100210
5213214434040
615200031044
72554560100
oct663552044
9257825601
10114218020
1159522764
1232302484
131a881237
1411252900
15a06259a
hex6ced424

114218020 has 36 divisors (see below), whose sum is σ = 279020700. Its totient is φ = 39160128.

The previous prime is 114218011. The next prime is 114218051. The reversal of 114218020 is 20812411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44595684 + 69622336 = 6678^2 + 8344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57295 + ... + 59254.

It is an arithmetic number, because the mean of its divisors is an integer number (7750575).

Almost surely, 2114218020 is an apocalyptic number.

114218020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114218020 is an abundant number, since it is smaller than the sum of its proper divisors (164802680).

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

114218020 is a wasteful number, since it uses less digits than its factorization.

114218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116572 (or 116563 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 114218020 is about 10687.2830972142. The cubic root of 114218020 is about 485.1896661382.

The spelling of 114218020 in words is "one hundred fourteen million, two hundred eighteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 116549 233098 466196 582745 815843 1165490 1631686 2330980 3263372 4079215 5710901 8158430 11421802 16316860 22843604 28554505 57109010 114218020