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212397612 = 22373721847
BaseRepresentation
bin11001010100011…
…10111000101100
3112210122220202020
430222032320230
5413333210422
633024230140
75156231010
oct1452167054
9483586666
10212397612
11a9990519
125b16b350
133500827b
14202cc540
15139a795c
hexca8ee2c

212397612 has 72 divisors (see below), whose sum is σ = 582430464. Its totient is φ = 59012928.

The previous prime is 212397611. The next prime is 212397623. The reversal of 212397612 is 216793212.

212397612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123976122 = 90225491166605088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212397611) 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, 114073 + ... + 115919.

It is an arithmetic number, because the mean of its divisors is an integer number (8089312).

Almost surely, 2212397612 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 212397612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291215232).

212397612 is an abundant number, since it is smaller than the sum of its proper divisors (370032852).

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

212397612 is a wasteful number, since it uses less digits than its factorization.

212397612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1896 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 212397612 is about 14573.8674345556. The cubic root of 212397612 is about 596.6457387178.

The spelling of 212397612 in words is "two hundred twelve million, three hundred ninety-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1369 1554 1847 2738 3108 3694 4107 5476 5541 7388 8214 9583 11082 12929 16428 19166 22164 25858 28749 38332 38787 51716 57498 68339 77574 114996 136678 155148 205017 273356 410034 478373 820068 956746 1435119 1913492 2528543 2870238 5057086 5740476 7585629 10114172 15171258 17699801 30342516 35399602 53099403 70799204 106198806 212397612