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212112022220 = 22572732964943
BaseRepresentation
bin1100010110001011011…
…1001001101011001100
3202021111110012011102222
43011202313021223030
511433401134202340
6241235400434512
721216222304100
oct3054267115314
9667443164388
10212112022220
1181a5778581a
1235137a78a38
1317004746627
14a3a293d900
1557b69718b5
hex3162dc9acc

212112022220 has 72 divisors (see below), whose sum is σ = 525257619264. Its totient is φ = 71727876864.

The previous prime is 212112022193. The next prime is 212112022223. The reversal of 212112022220 is 22220211212.

It is a happy number.

212112022220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212112022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410932 + ... + 1554011.

It is an arithmetic number, because the mean of its divisors is an integer number (7295244712).

Almost surely, 2212112022220 is an apocalyptic number.

212112022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112022220 is an abundant number, since it is smaller than the sum of its proper divisors (313145597044).

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

212112022220 is a wasteful number, since it uses less digits than its factorization.

212112022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965039 (or 2965030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212112022220 its reverse (22220211212), we get a palindrome (234332233432).

The spelling of 212112022220 in words is "two hundred twelve billion, one hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 2044 2555 3577 5110 7154 10220 14308 17885 35770 71540 2964943 5929886 11859772 14824715 20754601 29649430 41509202 59298860 83018404 103773005 145282207 207546010 216440839 290564414 415092020 432881678 581128828 726411035 865763356 1082204195 1452822070 1515085873 2164408390 2905644140 3030171746 4328816780 6060343492 7575429365 10605601111 15150858730 21211202222 30301717460 42422404444 53028005555 106056011110 212112022220