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114060222 = 23231712879
BaseRepresentation
bin1101100110001…
…10101110111110
321221121212012200
412303012232332
5213144411342
615152412330
72553332043
oct663065676
9257555180
10114060222
1159425151
12322470a6
131a827473
14112111ca
15a03094c
hex6cc6bbe

114060222 has 48 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 36262800.

The previous prime is 114060139. The next prime is 114060223. The reversal of 114060222 is 222060411.

114060222 is a `hidden beast` number, since 1 + 1 + 40 + 602 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114060195 and 114060204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114060223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38179 + ... + 41057.

It is an arithmetic number, because the mean of its divisors is an integer number (5391360).

Almost surely, 2114060222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114060222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129392640).

114060222 is an abundant number, since it is smaller than the sum of its proper divisors (144725058).

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

114060222 is a wasteful number, since it uses less digits than its factorization.

114060222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114060222 is about 10679.8980332211. The cubic root of 114060222 is about 484.9661251007.

It can be divided in two parts, 1140602 and 22, that added together give a square (1140624 = 10682).

The spelling of 114060222 in words is "one hundred fourteen million, sixty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 639 1278 2201 2879 4402 5758 6603 8637 13206 17274 19809 25911 39618 51822 89249 178498 204409 267747 408818 535494 613227 803241 1226454 1606482 1839681 3679362 6336679 12673358 19010037 38020074 57030111 114060222