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212121196 = 22722967557
BaseRepresentation
bin11001010010010…
…11011001101100
3112210010212120121
430221023121230
5413300334241
633014254324
75154000100
oct1451133154
9483125517
10212121196
11a9811881
125b0573a4
1334c3c501
1420259900
1513950ad1
hexca4b66c

212121196 has 72 divisors (see below), whose sum is σ = 454189680. Its totient is φ = 86308992.

The previous prime is 212121181. The next prime is 212121197. The reversal of 212121196 is 691121212.

It is a happy number.

212121196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212121196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380550 + ... + 381106.

It is an arithmetic number, because the mean of its divisors is an integer number (6308190).

Almost surely, 2212121196 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 212121196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227094840).

212121196 is an abundant number, since it is smaller than the sum of its proper divisors (242068484).

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

212121196 is a wasteful number, since it uses less digits than its factorization.

212121196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its digits is 432, while the sum is 25.

The square root of 212121196 is about 14564.3810716419. The cubic root of 212121196 is about 596.3867997989.

The spelling of 212121196 in words is "two hundred twelve million, one hundred twenty-one thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 29 49 58 67 98 116 134 196 203 268 406 469 557 812 938 1114 1421 1876 1943 2228 2842 3283 3886 3899 5684 6566 7772 7798 13132 13601 15596 16153 27202 27293 32306 37319 54404 54586 64612 74638 95207 109172 113071 149276 190414 226142 261233 380828 452284 522466 791497 1044932 1082251 1582994 1828631 2164502 3165988 3657262 4329004 7314524 7575757 15151514 30303028 53030299 106060598 212121196