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213214221 = 3311317349
BaseRepresentation
bin11001011010101…
…10010000001101
3112212012101221000
430231112100031
5414040323341
633053530513
75166201543
oct1455262015
9485171830
10213214221
11aa399000
125b4a3a39
1335232b7c
1420461d93
1513ab98b6
hexcb5640d

213214221 has 64 divisors (see below), whose sum is σ = 368928000. Its totient is φ = 121271040.

The previous prime is 213214189. The next prime is 213214247. The reversal of 213214221 is 122412312.

It is a happy number.

It is not a de Polignac number, because 213214221 - 25 = 213214189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213214194 and 213214203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213214291) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 610755 + ... + 611103.

It is an arithmetic number, because the mean of its divisors is an integer number (5764500).

Almost surely, 2213214221 is an apocalyptic number.

It is an amenable number.

213214221 is a deficient number, since it is larger than the sum of its proper divisors (155713779).

213214221 is a wasteful number, since it uses less digits than its factorization.

213214221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 213214221 is about 14601.8567654939. The cubic root of 213214221 is about 597.4094058009.

Adding to 213214221 its reverse (122412312), we get a palindrome (335626533).

The spelling of 213214221 in words is "two hundred thirteen million, two hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 297 349 363 459 561 1047 1089 1331 1683 2057 3141 3267 3839 3993 5049 5933 6171 9423 11517 11979 17799 18513 22627 34551 35937 42229 53397 55539 65263 67881 103653 126687 160191 195789 203643 380061 464519 587367 610929 717893 1140183 1393557 1762101 2153679 4180671 6461037 7896823 12542013 19383111 23690469 71071407 213214221