Search a number
-
+
211221222330 = 23541563305017
BaseRepresentation
bin1100010010110111000…
…1000001001110111010
3202012012100222211201110
43010231301001032322
511430040113103310
6241011135501150
721155154523626
oct3045561011672
9665170884643
10211221222330
118163a967668
1234b296877b6
1316bc20216c1
14a31a4da186
155763660d20
hex312dc413ba

211221222330 has 64 divisors (see below), whose sum is σ = 520219179648. Its totient is φ = 54854077440.

The previous prime is 211221222263. The next prime is 211221222347. The reversal of 211221222330 is 33222122112.

It is a super-2 number, since 2×2112212223302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211221222297 and 211221222306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539982 + ... + 844998.

It is an arithmetic number, because the mean of its divisors is an integer number (8128424682).

Almost surely, 2211221222330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260109589824).

211221222330 is an abundant number, since it is smaller than the sum of its proper divisors (308997957318).

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

211221222330 is a wasteful number, since it uses less digits than its factorization.

211221222330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305631.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211221222330 its reverse (33222122112), we get a palindrome (244443344442).

The spelling of 211221222330 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 563 615 1126 1230 1689 2815 3378 5630 8445 16890 23083 46166 69249 115415 138498 230830 305017 346245 610034 692490 915051 1525085 1830102 3050170 4575255 9150510 12505697 25011394 37517091 62528485 75034182 125056970 171724571 187585455 343449142 375170910 515173713 858622855 1030347426 1717245710 2575868565 5151737130 7040707411 14081414822 21122122233 35203537055 42244244466 70407074110 105610611165 211221222330