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213166230 = 235173197139
BaseRepresentation
bin11001011010010…
…10100010010110
3112212002222002120
430231022202112
5414032304410
633052520410
75165611614
oct1455124226
9485088076
10213166230
11aa365a42
125b480106
1335217084
142044c6b4
1513aaa570
hexcb4a896

213166230 has 128 divisors (see below), whose sum is σ = 568995840. Its totient is φ = 50872320.

The previous prime is 213166229. The next prime is 213166237. The reversal of 213166230 is 32661312.

It is a happy number.

It is a super-2 number, since 2×2131662302 = 90879683224825800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213166230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213166237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1533501 + ... + 1533639.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2213166230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213166230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

213166230 is an abundant number, since it is smaller than the sum of its proper divisors (355829610).

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

213166230 is a wasteful number, since it uses less digits than its factorization.

213166230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 213166230 is about 14600.2133546055. The cubic root of 213166230 is about 597.3645801072.

The spelling of 213166230 in words is "two hundred thirteen million, one hundred sixty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 97 102 139 155 170 186 194 255 278 291 310 417 465 485 510 527 582 695 834 930 970 1054 1390 1455 1581 1649 2085 2363 2635 2910 3007 3162 3298 4170 4309 4726 4947 5270 6014 7089 7905 8245 8618 9021 9894 11815 12927 13483 14178 15035 15810 16490 18042 21545 23630 24735 25854 26966 30070 35445 40449 43090 45105 49470 51119 64635 67415 70890 73253 80898 90210 102238 129270 134830 146506 153357 202245 219759 229211 255595 306714 366265 404490 417973 439518 458422 511190 687633 732530 766785 835946 1098795 1146055 1253919 1375266 1533570 2089865 2197590 2292110 2507838 3438165 4179730 6269595 6876330 7105541 12539190 14211082 21316623 35527705 42633246 71055410 106583115 213166230