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213324210 = 2325112191031
BaseRepresentation
bin11001011011100…
…01000110110010
3112212101222210200
430231301012302
5414102333320
633100140030
75200140321
oct1455610662
9485358720
10213324210
11aa463700
125b537616
1335270c58
14204900b8
1513adc290
hexcb711b2

213324210 has 144 divisors (see below), whose sum is σ = 642358080. Its totient is φ = 48945600.

The previous prime is 213324187. The next prime is 213324233. The reversal of 213324210 is 12423312.

213324210 is a `hidden beast` number, since 213 + 32 + 421 + 0 = 666.

213324210 is digitally balanced in base 2, 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 (213324187) and next prime (213324233).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206395 + ... + 207425.

It is an arithmetic number, because the mean of its divisors is an integer number (4460820).

Almost surely, 2213324210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213324210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321179040).

213324210 is an abundant number, since it is smaller than the sum of its proper divisors (429033870).

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

213324210 is a wasteful number, since it uses less digits than its factorization.

213324210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213324210 is about 14605.6225474986. The cubic root of 213324210 is about 597.5121149718.

Adding to 213324210 its reverse (12423312), we get a palindrome (225747522).

It can be divided in two parts, 213 and 324210, that added together give a palindrome (324423).

The spelling of 213324210 in words is "two hundred thirteen million, three hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 165 171 190 198 209 242 285 330 342 363 418 495 570 605 627 726 855 990 1031 1045 1089 1210 1254 1710 1815 1881 2062 2090 2178 2299 3093 3135 3630 3762 4598 5155 5445 6186 6270 6897 9279 9405 10310 10890 11341 11495 13794 15465 18558 18810 19589 20691 22682 22990 30930 34023 34485 39178 41382 46395 56705 58767 68046 68970 92790 97945 102069 103455 113410 117534 124751 170115 176301 195890 204138 206910 215479 249502 293835 340230 352602 374253 430958 510345 587670 623755 646437 748506 881505 1020690 1077395 1122759 1247510 1292874 1763010 1871265 1939311 2154790 2245518 2370269 3232185 3742530 3878622 4740538 5613795 6464370 7110807 9696555 11227590 11851345 14221614 19393110 21332421 23702690 35554035 42664842 71108070 106662105 213324210