Search a number
-
+
214321770 = 232513832207
BaseRepresentation
bin11001100011001…
…00101001101010
3112221021200012100
430301210221222
5414331244040
633133354230
75211463545
oct1461445152
9487250170
10214321770
11aaa85133
125b938976
1335530020
142066d85c
1513c37b30
hexcc64a6a

214321770 has 96 divisors (see below), whose sum is σ = 607606272. Its totient is φ = 52096896.

The previous prime is 214321769. The next prime is 214321813. The reversal of 214321770 is 77123412.

It is a happy number.

214321770 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96007 + ... + 98213.

It is an arithmetic number, because the mean of its divisors is an integer number (6329232).

Almost surely, 2214321770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214321770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303803136).

214321770 is an abundant number, since it is smaller than the sum of its proper divisors (393284502).

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

214321770 is a wasteful number, since it uses less digits than its factorization.

214321770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 214321770 is about 14639.7325795248. The cubic root of 214321770 is about 598.4420414433.

The spelling of 214321770 in words is "two hundred fourteen million, three hundred twenty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 234 249 390 415 498 585 747 830 1079 1170 1245 1494 2158 2207 2490 3237 3735 4414 5395 6474 6621 7470 9711 10790 11035 13242 16185 19422 19863 22070 28691 32370 33105 39726 48555 57382 66210 86073 97110 99315 143455 172146 183181 198630 258219 286910 366362 430365 516438 549543 860730 915905 1099086 1291095 1648629 1831810 2381353 2582190 2747715 3297258 4762706 5495430 7144059 8243145 11906765 14288118 16486290 21432177 23813530 35720295 42864354 71440590 107160885 214321770