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222225318 = 23272961997
BaseRepresentation
bin11010011111011…
…10001110100110
3120111011012211100
431033232032212
5423342202233
634015020530
75335612140
oct1517561646
9514135740
10222225318
11104493197
126250a746
1337069593
1421729c90
1514799813
hexd3ee3a6

222225318 has 96 divisors (see below), whose sum is σ = 579159360. Its totient is φ = 60238080.

The previous prime is 222225313. The next prime is 222225319. The reversal of 222225318 is 813522222.

It is a super-2 number, since 2×2222253182 = 98768183920402248, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222225291 and 222225300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222225313) 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 47 ways as a sum of consecutive naturals, for example, 222396 + ... + 223392.

It is an arithmetic number, because the mean of its divisors is an integer number (6032910).

Almost surely, 2222225318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222225318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289579680).

222225318 is an abundant number, since it is smaller than the sum of its proper divisors (356934042).

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

222225318 is a wasteful number, since it uses less digits than its factorization.

222225318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1099 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 222225318 is about 14907.2236851803. The cubic root of 222225318 is about 605.7096769651.

The spelling of 222225318 in words is "two hundred twenty-two million, two hundred twenty-five thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 61 63 87 122 126 174 183 203 261 366 406 427 522 549 609 854 997 1098 1218 1281 1769 1827 1994 2562 2991 3538 3654 3843 5307 5982 6979 7686 8973 10614 12383 13958 15921 17946 20937 24766 28913 31842 37149 41874 57826 60817 62811 74298 86739 111447 121634 125622 173478 182451 202391 222894 260217 364902 404782 425719 520434 547353 607173 851438 1094706 1214346 1277157 1763693 1821519 2554314 3527386 3643038 3831471 5291079 7662942 10582158 12345851 15873237 24691702 31746474 37037553 74075106 111112659 222225318