Search a number
-
+
213352230 = 235713312521
BaseRepresentation
bin11001011011101…
…11111100100110
3112212110102020110
430231313330212
5414104232410
633100513450
75200315110
oct1455677446
9485412213
10213352230
11aa482763
125b54b886
1335280930
142049a3b0
1513ae5720
hexcb77f26

213352230 has 128 divisors (see below), whose sum is σ = 650797056. Its totient is φ = 43545600.

The previous prime is 213352229. The next prime is 213352241. The reversal of 213352230 is 32253312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213352197 and 213352206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83370 + ... + 85890.

It is an arithmetic number, because the mean of its divisors is an integer number (5084352).

Almost surely, 2213352230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213352230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325398528).

213352230 is an abundant number, since it is smaller than the sum of its proper divisors (437444826).

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

213352230 is a wasteful number, since it uses less digits than its factorization.

213352230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 213352230 is about 14606.5817356423. The cubic root of 213352230 is about 597.5382747725.

The spelling of 213352230 in words is "two hundred thirteen million, three hundred fifty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2521 2730 2821 3255 4030 5042 5642 6045 6510 7563 8463 12090 12605 14105 15126 16926 17647 25210 28210 32773 35294 37815 42315 52941 65546 75630 78151 84630 88235 98319 105882 156302 163865 176470 196638 229411 234453 264705 327730 390755 458822 468906 491595 529410 547057 688233 781510 983190 1015963 1094114 1147055 1172265 1376466 1641171 2031926 2294110 2344530 2735285 3047889 3282342 3441165 5079815 5470570 6095778 6882330 7111741 8205855 10159630 14223482 15239445 16411710 21335223 30478890 35558705 42670446 71117410 106676115 213352230