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212223303322212 = 22371317237110367967
BaseRepresentation
bin110000010000010000010110…
…100110111000101001100100
31000211102100102220022021022010
4300100100112212320221210
5210304031311122302322
62031210012320434220
762462425203261120
oct6020202646705144
91024370386267263
10212223303322212
1161691441091226
121b97636aa78970
139155757b4ba90
143a5993c5ac580
1519806361ac20c
hexc104169b8a64

212223303322212 has 768 divisors, whose sum is σ = 689493422112768. Its totient is φ = 49195465482240.

The previous prime is 212223303322207. The next prime is 212223303322271.

It is a happy number.

212223303322212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 212223303322212.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3122412253 + ... + 3122480219.

It is an arithmetic number, because the mean of its divisors is an integer number (897777893376).

Almost surely, 2212223303322212 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 212223303322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344746711056384).

212223303322212 is an abundant number, since it is smaller than the sum of its proper divisors (477270118790556).

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

212223303322212 is a wasteful number, since it uses less digits than its factorization.

212223303322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68208 (or 68206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 21222330 and 3322212, that added together give a palindrome (24544542).

The spelling of 212223303322212 in words is "two hundred twelve trillion, two hundred twenty-three billion, three hundred three million, three hundred twenty-two thousand, two hundred twelve".