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221230212 = 223729197461
BaseRepresentation
bin11010010111110…
…11010010000100
3120102021122210120
431023323102010
5423113331322
633541421540
75324266020
oct1513732204
9512248716
10221230212
11103973595
126210a8b0
1336aab668
142154b380
151464ea5c
hexd2fb484

221230212 has 96 divisors (see below), whose sum is σ = 614718720. Its totient is φ = 60587520.

The previous prime is 221230211. The next prime is 221230267. The reversal of 221230212 is 212032122.

It is a happy number.

221230212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221230191 and 221230200.

It is not an unprimeable number, because it can be changed into a prime (221230211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479662 + ... + 480122.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2221230212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360).

221230212 is an abundant number, since it is smaller than the sum of its proper divisors (393488508).

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

221230212 is a wasteful number, since it uses less digits than its factorization.

221230212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221230212 is about 14873.8095994268. The cubic root of 221230212 is about 604.8042186900.

Adding to 221230212 its reverse (212032122), we get a palindrome (433262334).

The spelling of 221230212 in words is "two hundred twenty-one million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 197 203 348 394 406 461 591 609 788 812 922 1182 1218 1379 1383 1844 2364 2436 2758 2766 3227 4137 5516 5532 5713 6454 8274 9681 11426 12908 13369 16548 17139 19362 22852 26738 34278 38724 39991 40107 53476 68556 79982 80214 90817 93583 119973 159964 160428 181634 187166 239946 272451 280749 363268 374332 479892 544902 561498 635719 1089804 1122996 1271438 1907157 2542876 2633693 3814314 5267386 7628628 7901079 10534772 15802158 18435851 31604316 36871702 55307553 73743404 110615106 221230212