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222218730 = 232517612381
BaseRepresentation
bin11010011111011…
…00100111101010
3120111010212210100
431033230213222
5423341444410
634014530230
75335554006
oct1517544752
9514125710
10222218730
11104489248
1262506976
1337066596
1421727706
15147978c0
hexd3ec9ea

222218730 has 96 divisors (see below), whose sum is σ = 622045008. Its totient is φ = 54835200.

The previous prime is 222218719. The next prime is 222218753. The reversal of 222218730 is 37812222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7273809 + 214944921 = 2697^2 + 14661^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222218694 and 222218703.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92140 + ... + 94520.

Almost surely, 2222218730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222218730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311022504).

222218730 is an abundant number, since it is smaller than the sum of its proper divisors (399826278).

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

222218730 is a wasteful number, since it uses less digits than its factorization.

222218730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 222218730 is about 14907.0027168442. The cubic root of 222218730 is about 605.7036913663.

The spelling of 222218730 in words is "two hundred twenty-two million, two hundred eighteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 61 85 90 102 122 153 170 183 255 305 306 366 510 549 610 765 915 1037 1098 1530 1830 2074 2381 2745 3111 4762 5185 5490 6222 7143 9333 10370 11905 14286 15555 18666 21429 23810 31110 35715 40477 42858 46665 71430 80954 93330 107145 121431 145241 202385 214290 242862 290482 364293 404770 435723 607155 726205 728586 871446 1214310 1307169 1452410 1821465 2178615 2469097 2614338 3642930 4357230 4938194 6535845 7407291 12345485 13071690 14814582 22221873 24690970 37036455 44443746 74072910 111109365 222218730