Search a number
-
+
213331482 = 23471329499
BaseRepresentation
bin11001011011100…
…10111000011010
3112212102100210000
430231302320122
5414103101412
633100233430
75200200450
oct1455627032
9485370700
10213331482
11aa469111
125b53b876
1335274360
14204929d0
1513ade4dc
hexcb72e1a

213331482 has 160 divisors (see below), whose sum is σ = 609840000. Its totient is φ = 54214272.

The previous prime is 213331451. The next prime is 213331549. The reversal of 213331482 is 284133312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427269 + ... + 427767.

It is an arithmetic number, because the mean of its divisors is an integer number (3811500).

Almost surely, 2213331482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213331482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304920000).

213331482 is an abundant number, since it is smaller than the sum of its proper divisors (396508518).

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

213331482 is a wasteful number, since it uses less digits than its factorization.

213331482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 213331482 is about 14605.8714906027. The cubic root of 213331482 is about 597.5189044164.

Adding to 213331482 its reverse (284133312), we get a palindrome (497464794).

The spelling of 213331482 in words is "two hundred thirteen million, three hundred thirty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 54 58 63 78 81 87 91 117 126 162 174 182 189 203 234 261 273 351 377 378 406 499 522 546 567 609 702 754 783 819 998 1053 1131 1134 1218 1497 1566 1638 1827 2106 2262 2349 2457 2639 2994 3393 3493 3654 4491 4698 4914 5278 5481 6487 6786 6986 7371 7917 8982 10179 10479 10962 12974 13473 14471 14742 15834 16443 19461 20358 20958 23751 26946 28942 30537 31437 32886 38922 40419 43413 45409 47502 58383 61074 62874 71253 80838 86826 90818 94311 101297 116766 130239 136227 142506 175149 188123 188622 202594 213759 260478 272454 282933 303891 350298 376246 390717 408681 427518 525447 564369 565866 607782 781434 817362 911673 1050894 1128738 1172151 1226043 1316861 1693107 1823346 2344302 2452086 2633722 2735019 3386214 3678129 3950583 5079321 5470038 7356258 7901166 8205057 10158642 11851749 15237963 16410114 23703498 30475926 35555247 71110494 106665741 213331482