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212430233022 = 23723123839781
BaseRepresentation
bin1100010111010111010…
…1000001110110111110
3202022022121221221121020
43011311311001312332
511440024114424042
6241331125045010
721230135121300
oct3056565016676
9668277857536
10212430233022
1182100368257
1235206556766
131705564c347
14a3d2cd3970
1557d487b3ec
hex3175d41dbe

212430233022 has 96 divisors (see below), whose sum is σ = 510434463744. Its totient is φ = 58705819200.

The previous prime is 212430232997. The next prime is 212430233027. The reversal of 212430233022 is 220332034212.

It is a junction number, because it is equal to n+sod(n) for n = 212430232983 and 212430233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212430233027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21713772 + ... + 21723552.

It is an arithmetic number, because the mean of its divisors is an integer number (5317025664).

Almost surely, 2212430233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212430233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255217231872).

212430233022 is an abundant number, since it is smaller than the sum of its proper divisors (298004230722).

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

212430233022 is a wasteful number, since it uses less digits than its factorization.

212430233022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214 (or 12207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 212430233022 its reverse (220332034212), we get a palindrome (432762267234).

The spelling of 212430233022 in words is "two hundred twelve billion, four hundred thirty million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 2383 3038 4557 4766 7149 9114 9781 14298 16681 19562 29343 33362 50043 58686 68467 73873 100086 116767 136934 147746 205401 221619 233534 303211 350301 410802 443238 479269 517111 606422 700602 909633 958538 1034222 1437807 1551333 1819266 2122477 2875614 3102666 3619777 4244954 6367431 7239554 10859331 12734862 14857339 21718662 23308123 29714678 44572017 46616246 69924369 89144034 139848738 163156861 326313722 489470583 722551813 978941166 1142098027 1445103626 2167655439 2284196054 3426294081 4335310878 5057862691 6852588162 10115725382 15173588073 30347176146 35405038837 70810077674 106215116511 212430233022