Search a number
-
+
212220918 = 233713192273
BaseRepresentation
bin11001010011000…
…11101111110110
3112210022221101000
430221203233312
5413312032133
633020344130
75154563610
oct1451435766
9483287330
10212220918
11a987a798
125b0a5046
1334c75a10
1420283db0
1513970413
hexca63bf6

212220918 has 128 divisors (see below), whose sum is σ = 611251200. Its totient is φ = 53001216.

The previous prime is 212220901. The next prime is 212220919. The reversal of 212220918 is 819022212.

212220918 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212220891 and 212220900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220919) 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 63 ways as a sum of consecutive naturals, for example, 92230 + ... + 94502.

It is an arithmetic number, because the mean of its divisors is an integer number (4775400).

Almost surely, 2212220918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305625600).

212220918 is an abundant number, since it is smaller than the sum of its proper divisors (399030282).

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

212220918 is a wasteful number, since it uses less digits than its factorization.

212220918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212220918 is about 14567.8041584859. The cubic root of 212220918 is about 596.4802425544.

The spelling of 212220918 in words is "two hundred twelve million, two hundred twenty thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 91 114 117 126 133 171 182 189 234 247 266 273 342 351 378 399 494 513 546 702 741 798 819 1026 1197 1482 1638 1729 2223 2273 2394 2457 3458 3591 4446 4546 4914 5187 6669 6819 7182 10374 13338 13638 15561 15911 20457 29549 31122 31822 40914 43187 46683 47733 59098 61371 86374 88647 93366 95466 122742 129561 143199 177294 206843 259122 265941 286398 302309 388683 413686 429597 531882 561431 604618 620529 777366 797823 859194 906927 1122862 1166049 1241058 1595646 1684293 1813854 1861587 2332098 2720781 3368586 3723174 3930017 5052879 5441562 5584761 7860034 8162343 10105758 11169522 11790051 15158637 16324686 23580102 30317274 35370153 70740306 106110459 212220918