Search a number
-
+
212346204 = 223721983229
BaseRepresentation
bin11001010100000…
…10010101011100
3112210120022020020
430222002111130
5413330034304
633023152140
75155625100
oct1452022534
9483508206
10212346204
11a9955934
125b145650
1334cbaa55
14202b7900
15139975d9
hexca8255c

212346204 has 144 divisors (see below), whose sum is σ = 616694400. Its totient is φ = 56536704.

The previous prime is 212346193. The next prime is 212346221. The reversal of 212346204 is 402643212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927162 + ... + 927390.

It is an arithmetic number, because the mean of its divisors is an integer number (4282600).

Almost surely, 2212346204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212346204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308347200).

212346204 is an abundant number, since it is smaller than the sum of its proper divisors (404348196).

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

212346204 is a wasteful number, since it uses less digits than its factorization.

212346204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 212346204 is about 14572.1036230189. The cubic root of 212346204 is about 596.5975981278.

Adding to 212346204 its reverse (402643212), we get a palindrome (614989416).

The spelling of 212346204 in words is "two hundred twelve million, three hundred forty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 83 84 98 114 133 147 166 196 228 229 249 266 294 332 399 458 498 532 581 588 687 798 916 931 996 1162 1374 1577 1596 1603 1743 1862 2324 2748 2793 3154 3206 3486 3724 4067 4351 4731 4809 5586 6308 6412 6972 8134 8702 9462 9618 11039 11172 11221 12201 13053 16268 17404 18924 19007 19236 22078 22442 24402 26106 30457 33117 33663 38014 44156 44884 48804 52212 57021 60914 66234 67326 76028 77273 91371 114042 121828 132468 133049 134652 154546 182742 213199 228084 231819 266098 309092 361133 365484 399147 426398 463638 532196 639597 722266 798294 852796 927276 931343 1083399 1279194 1444532 1596588 1862686 2166798 2527931 2558388 2794029 3725372 4333596 5055862 5588058 7583793 10111724 11176116 15167586 17695517 30335172 35391034 53086551 70782068 106173102 212346204