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222213222 = 232711179431
BaseRepresentation
bin11010011111010…
…11010001100110
3120111010121020100
431033223101212
5423341310342
634014444530
75335531650
oct1517532146
9514117210
10222213222
111044850a0
1262503746
1337063c1a
14217256d0
1514795e4c
hexd3eb466

222213222 has 96 divisors (see below), whose sum is σ = 635641344. Its totient is φ = 54316800.

The previous prime is 222213221. The next prime is 222213223. The reversal of 222213222 is 222312222.

It is an interprime number because it is at equal distance from previous prime (222213221) and next prime (222213223).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222213195 and 222213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222213221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18847 + ... + 28277.

It is an arithmetic number, because the mean of its divisors is an integer number (6621264).

Almost surely, 2222213222 is an apocalyptic number.

222213222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317820672).

222213222 is an abundant number, since it is smaller than the sum of its proper divisors (413428122).

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

222213222 is a wasteful number, since it uses less digits than its factorization.

222213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9471 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 222213222 is about 14906.8179703114. The cubic root of 222213222 is about 605.6986869224.

Adding to 222213222 its reverse (222312222), we get a palindrome (444525444).

It can be divided in two parts, 222 and 213222, that added together give a square (213444 = 4622).

The spelling of 222213222 in words is "two hundred twenty-two million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 7854 9431 11781 18862 23562 28293 56586 66017 84879 103741 132034 160327 169758 198051 207482 311223 320654 396102 480981 594153 622446 726187 933669 961962 1122289 1188306 1442943 1452374 1763597 1867338 2178561 2244578 2885886 3366867 3527194 4357122 5290791 6535683 6733734 10100601 10581582 12345179 13071366 15872373 20201202 24690358 31744746 37035537 74071074 111106611 222213222