Search a number
-
+
213312330 = 232571130781
BaseRepresentation
bin11001011011011…
…10001101001010
3112212101101111200
430231232031022
5414101443310
633100005030
75200060560
oct1455561512
9485341450
10213312330
11aa455790
125b530776
133526871a
1420489a30
1513ad89c0
hexcb6e34a

213312330 has 96 divisors (see below), whose sum is σ = 691486848. Its totient is φ = 44323200.

The previous prime is 213312283. The next prime is 213312361. The reversal of 213312330 is 33213312.

213312330 is a `hidden beast` number, since 2 + 1 + 331 + 2 + 330 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8461 + ... + 22320.

It is an arithmetic number, because the mean of its divisors is an integer number (7202988).

Almost surely, 2213312330 is an apocalyptic number.

213312330 is an abundant number, since it is smaller than the sum of its proper divisors (478174518).

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

213312330 is a wasteful number, since it uses less digits than its factorization.

213312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30812 (or 30809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213312330 is about 14605.2158491410. The cubic root of 213312330 is about 597.5010229729.

Adding to 213312330 its reverse (33213312), we get a palindrome (246525642).

The spelling of 213312330 in words is "two hundred thirteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 30781 61562 92343 153905 184686 215467 277029 307810 338591 430934 461715 554058 646401 677182 923430 1015773 1077335 1292802 1385145 1692955 1939203 2031546 2154670 2370137 2770290 3047319 3232005 3385910 3878406 4740274 5078865 6094638 6464010 7110411 9696015 10157730 11850685 14220822 15236595 19392030 21331233 23701370 30473190 35552055 42662466 71104110 106656165 213312330