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213213222 = 23483101157
BaseRepresentation
bin11001011010101…
…10000000100110
3112212012100120000
430231112000212
5414040310342
633053522130
75166165615
oct1455260046
9485170500
10213213222
11aa398282
125b4a3346
1335232591
142046187c
1513ab944c
hexcb56026

213213222 has 80 divisors (see below), whose sum is σ = 491409072. Its totient is φ = 69076800.

The previous prime is 213213181. The next prime is 213213227. The reversal of 213213222 is 222312312.

213213222 is a `hidden beast` number, since 21 + 321 + 322 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213213195 and 213213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1357968 + ... + 1358124.

Almost surely, 2213213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245704536).

213213222 is an abundant number, since it is smaller than the sum of its proper divisors (278195850).

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

213213222 is a wasteful number, since it uses less digits than its factorization.

213213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 213213222 is about 14601.8225574755. The cubic root of 213213222 is about 597.4084727598.

Adding to 213213222 its reverse (222312312), we get a palindrome (435525534).

The spelling of 213213222 in words is "two hundred thirteen million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 101 157 162 166 202 249 303 314 471 498 606 747 909 942 1413 1494 1818 2241 2727 2826 4239 4482 5454 6723 8181 8383 8478 12717 13031 13446 15857 16362 16766 25149 25434 26062 31714 39093 47571 50298 75447 78186 95142 117279 142713 150894 226341 234558 285426 351837 428139 452682 679023 703674 856278 1055511 1284417 1316131 1358046 2111022 2568834 2632262 3948393 7896786 11845179 23690358 35535537 71071074 106606611 213213222