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202106212 = 227111733793
BaseRepresentation
bin11000000101111…
…10010101100100
3112002022001121021
430002332111210
5403214344322
632015500524
75002605640
oct1402762544
9462261537
10202106212
11a40a1430
1257827744
1332b43b99
141cbadc20
1512b234c7
hexc0be564

202106212 has 48 divisors (see below), whose sum is σ = 443624832. Its totient is φ = 78266880.

The previous prime is 202106207. The next prime is 202106227. The reversal of 202106212 is 212601202.

202106212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51388 + ... + 55180.

It is an arithmetic number, because the mean of its divisors is an integer number (9242184).

Almost surely, 2202106212 is an apocalyptic number.

202106212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202106212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221812416).

202106212 is an abundant number, since it is smaller than the sum of its proper divisors (241518620).

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

202106212 is a wasteful number, since it uses less digits than its factorization.

202106212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 202106212 is about 14216.4064376339. The cubic root of 202106212 is about 586.8492503039.

Adding to 202106212 its reverse (212601202), we get a palindrome (414707414).

The spelling of 202106212 in words is "two hundred two million, one hundred six thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 173 308 346 692 1211 1903 2422 3793 3806 4844 7586 7612 13321 15172 26551 26642 41723 53102 53284 83446 106204 166892 292061 584122 656189 1168244 1312378 2624756 4593323 7218079 9186646 14436158 18373292 28872316 50526553 101053106 202106212