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211212220 = 225232971223
BaseRepresentation
bin11001001011011…
…01011110111100
3112201102200200211
430211231132330
5413032242340
632543002204
75143163032
oct1445553674
9481380624
10211212220
11a925095a
125a899364
13349b185b
14200a0552
15138215ea
hexc96d7bc

211212220 has 96 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 76581120.

The previous prime is 211212203. The next prime is 211212241. The reversal of 211212220 is 22212112.

It is a happy number.

211212220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112122202 = 89221203754656800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211212220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947029 + ... + 947251.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2211212220 is an apocalyptic number.

211212220 is a gapful number since it is divisible by the number (20) 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 211212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

211212220 is an abundant number, since it is smaller than the sum of its proper divisors (276498500).

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

211212220 is a wasteful number, since it uses less digits than its factorization.

211212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 211212220 is about 14533.1421241244. The cubic root of 211212220 is about 595.5337065685.

Adding to 211212220 its reverse (22212112), we get a palindrome (233424332).

The spelling of 211212220 in words is "two hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 71 92 115 116 142 145 223 230 284 290 355 446 460 580 667 710 892 1115 1334 1420 1633 2059 2230 2668 3266 3335 4118 4460 5129 6467 6532 6670 8165 8236 10258 10295 12934 13340 15833 16330 20516 20590 25645 25868 31666 32335 32660 41180 47357 51290 63332 64670 79165 94714 102580 129340 148741 158330 189428 236785 297482 316660 364159 459157 473570 594964 728318 743705 918314 947140 1456636 1487410 1820795 1836628 2295785 2974820 3641590 4591570 7283180 9183140 10560611 21121222 42242444 52803055 105606110 211212220