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222082014 = 237211431597
BaseRepresentation
bin11010011110010…
…11001111011110
3120110212221020210
431033023033132
5423323111024
634011553250
75334444300
oct1517131736
9513787223
10222082014
111043a5560
126245b826
133701929b
14216cd970
151476c129
hexd3cb3de

222082014 has 96 divisors (see below), whose sum is σ = 577120896. Its totient is φ = 56306880.

The previous prime is 222081991. The next prime is 222082037. The reversal of 222082014 is 410280222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222081991) and next prime (222082037).

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

It is a congruent number.

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, 138264 + ... + 139860.

It is an arithmetic number, because the mean of its divisors is an integer number (6011676).

Almost surely, 2222082014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222082014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288560448).

222082014 is an abundant number, since it is smaller than the sum of its proper divisors (355038882).

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

222082014 is a wasteful number, since it uses less digits than its factorization.

222082014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 222082014 is about 14902.4163812450. The cubic root of 222082014 is about 605.5794498529.

The spelling of 222082014 in words is "two hundred twenty-two million, eighty-two thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 49 66 77 86 98 129 147 154 231 258 294 301 462 473 539 602 903 946 1078 1419 1597 1617 1806 2107 2838 3194 3234 3311 4214 4791 6321 6622 9582 9933 11179 12642 17567 19866 22358 23177 33537 35134 46354 52701 67074 68671 69531 78253 105402 122969 137342 139062 156506 206013 234759 245938 368907 412026 469518 480697 737814 755381 860783 961394 1442091 1510762 1721566 2266143 2582349 2884182 3364879 4532286 5164698 5287667 6729758 10094637 10575334 15863001 20189274 31726002 37013669 74027338 111041007 222082014