Search a number
-
+
222117852 = 2231117312103
BaseRepresentation
bin11010011110100…
…11111111011100
3120110221202102010
431033103333130
5423330232402
634012431220
75334653625
oct1517237734
9513852363
10222117852
1110441a480
1262478510
133702c6a8
14216dca4c
1514777a6c
hexd3d3fdc

222117852 has 144 divisors (see below), whose sum is σ = 624589056. Its totient is φ = 60710400.

The previous prime is 222117851. The next prime is 222117853. The reversal of 222117852 is 258711222.

222117852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222117851) and next prime (222117853).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222117851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2156433 + ... + 2156535.

It is an arithmetic number, because the mean of its divisors is an integer number (4337424).

Almost surely, 2222117852 is an apocalyptic number.

222117852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222117852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312294528).

222117852 is an abundant number, since it is smaller than the sum of its proper divisors (402471204).

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

222117852 is a wasteful number, since it uses less digits than its factorization.

222117852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 222117852 is about 14903.6187551883. The cubic root of 222117852 is about 605.6120227878.

The spelling of 222117852 in words is "two hundred twenty-two million, one hundred seventeen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 103 124 132 186 187 204 206 309 341 372 374 412 527 561 618 682 748 961 1023 1054 1122 1133 1236 1364 1581 1751 1922 2046 2108 2244 2266 2883 3162 3193 3399 3502 3844 4092 4532 5253 5766 5797 6324 6386 6798 7004 9579 10506 10571 11532 11594 12772 13596 16337 17391 19158 19261 21012 21142 23188 31713 32674 34782 35123 38316 38522 42284 49011 54281 57783 63426 65348 69564 70246 77044 98022 98983 105369 108562 115566 126852 140492 162843 179707 196044 197966 210738 217124 231132 296949 325686 359414 395932 421476 539121 593898 597091 651372 718828 1078242 1088813 1187796 1194182 1682711 1791273 2156484 2177626 2388364 3266439 3365422 3582546 4355252 5048133 6532878 6730844 7165092 10096266 13065756 18509821 20192532 37019642 55529463 74039284 111058926 222117852