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213330222 = 23273109317
BaseRepresentation
bin11001011011100…
…10100100101110
3112212102022001100
430231302210232
5414103031342
633100223530
75200164000
oct1455624456
9485368040
10213330222
11aa468176
125b53aba6
1335273901
1420492370
1513adde4c
hexcb7292e

213330222 has 96 divisors (see below), whose sum is σ = 545688000. Its totient is φ = 60201792.

The previous prime is 213330209. The next prime is 213330239. The reversal of 213330222 is 222033312.

It is a happy number.

213330222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213330195 and 213330204.

It is a congruent number.

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, 672808 + ... + 673124.

It is an arithmetic number, because the mean of its divisors is an integer number (5684250).

Almost surely, 2213330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272844000).

213330222 is an abundant number, since it is smaller than the sum of its proper divisors (332357778).

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

213330222 is a wasteful number, since it uses less digits than its factorization.

213330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213330222 is about 14605.8283572004. The cubic root of 213330222 is about 597.5177280385.

Adding to 213330222 its reverse (222033312), we get a palindrome (435363534).

The spelling of 213330222 in words is "two hundred thirteen million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 109 126 147 218 294 317 327 343 441 634 654 686 763 882 951 981 1029 1526 1902 1962 2058 2219 2289 2853 3087 4438 4578 5341 5706 6174 6657 6867 10682 13314 13734 15533 16023 19971 31066 32046 34553 37387 39942 46599 48069 69106 74774 93198 96138 103659 108731 112161 139797 207318 217462 224322 241871 279594 310977 326193 336483 483742 621954 652386 672966 725613 978579 1451226 1693097 1957158 2176839 3386194 4353678 5079291 10158582 11851679 15237873 23703358 30475746 35555037 71110074 106665111 213330222