Search a number
-
+
213222009 = 3711131937101
BaseRepresentation
bin11001011010110…
…00001001111001
3112212012210121110
430231120021321
5414041101014
633054030533
75166233340
oct1455301171
9485183543
10213222009
11aa3a3940
125b4a8449
1335236590
1420464b57
1513abbd59
hexcb58279

213222009 has 128 divisors (see below), whose sum is σ = 416747520. Its totient is φ = 93312000.

The previous prime is 213221963. The next prime is 213222013. The reversal of 213222009 is 900222312.

213222009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213222009 - 211 = 213219961 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (213222049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2111059 + ... + 2111159.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2213222009 is an apocalyptic number.

It is an amenable number.

213222009 is a deficient number, since it is larger than the sum of its proper divisors (203525511).

213222009 is a wasteful number, since it uses less digits than its factorization.

213222009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 213222009 is about 14602.1234414725. The cubic root of 213222009 is about 597.4166794993.

It can be divided in two parts, 213 and 222009, that added together give a palindrome (222222).

The spelling of 213222009 in words is "two hundred thirteen million, two hundred twenty-two thousand, nine".

Divisors: 1 3 7 11 13 19 21 33 37 39 57 77 91 101 111 133 143 209 231 247 259 273 303 399 407 429 481 627 703 707 741 777 1001 1111 1221 1313 1443 1463 1729 1919 2109 2121 2717 2849 3003 3333 3367 3737 3939 4389 4921 5187 5291 5757 7733 7777 8151 8547 9139 9191 10101 11211 13433 14443 14763 15873 19019 21109 23199 23331 24947 26159 27417 27573 37037 40299 41107 43329 48581 54131 57057 63327 63973 71003 74841 78477 100529 101101 111111 123321 145743 147763 162393 174629 191919 213009 274417 287749 301587 303303 340067 443289 497021 523887 534391 703703 781033 823251 863247 923039 1020201 1491063 1603173 1920919 2111109 2343099 2769117 3740737 5467231 5762757 6461273 10153429 11222211 16401693 19383819 30460287 71074003 213222009