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212134221 = 34131923461
BaseRepresentation
bin11001010010011…
…10100101001101
3112210011112110000
430221032211031
5413301243341
633014434513
75154053055
oct1451164515
9483145400
10212134221
11a9820642
125b062a39
1334c45410
1420260565
15139548b6
hexca4e94d

212134221 has 80 divisors (see below), whose sum is σ = 375661440. Its totient is φ = 118039680.

The previous prime is 212134133. The next prime is 212134229. The reversal of 212134221 is 122431212.

It is a happy number.

212134221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212134221 - 222 = 207939917 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212134194 and 212134203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212134229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 459931 + ... + 460391.

It is an arithmetic number, because the mean of its divisors is an integer number (4695768).

Almost surely, 2212134221 is an apocalyptic number.

It is an amenable number.

212134221 is a deficient number, since it is larger than the sum of its proper divisors (163527219).

212134221 is a wasteful number, since it uses less digits than its factorization.

212134221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212134221 is about 14564.8282173186. The cubic root of 212134221 is about 596.3990063099.

Adding to 212134221 its reverse (122431212), we get a palindrome (334565433).

The spelling of 212134221 in words is "two hundred twelve million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 13 19 23 27 39 57 69 81 117 171 207 247 299 351 437 461 513 621 741 897 1053 1311 1383 1539 1863 2223 2691 3933 4149 5681 5993 6669 8073 8759 10603 11799 12447 17043 17979 20007 24219 26277 31809 35397 37341 51129 53937 78831 95427 113867 137839 153387 161811 201457 236493 286281 341601 413517 460161 485433 604371 709479 858843 1024803 1240551 1813113 2618941 3074409 3721653 5439339 7856823 9223227 11164959 16318017 23570469 70711407 212134221