Search a number
-
+
222322320112 = 241719715832621
BaseRepresentation
bin1100111100001101110…
…0010110001011110000
3210020212000200001001011
43033003130112023300
512120304003220422
6250044454520304
722030232353324
oct3170334261360
9706760601034
10222322320112
1186317176742
1237107366094
1317c70b85409
14aa909a5984
155bb3020077
hex33c37162f0

222322320112 has 80 divisors (see below), whose sum is σ = 458867452032. Its totient is φ = 103985745920.

The previous prime is 222322320047. The next prime is 222322320127. The reversal of 222322320112 is 211023223222.

222322320112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84822162 + ... + 84824782.

Almost surely, 2222322320112 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 222322320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229433726016).

222322320112 is an abundant number, since it is smaller than the sum of its proper divisors (236545131920).

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

222322320112 is a wasteful number, since it uses less digits than its factorization.

222322320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 222322320112 its reverse (211023223222), we get a palindrome (433345543334).

The spelling of 222322320112 in words is "two hundred twenty-two billion, three hundred twenty-two million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 394 788 1576 1583 2621 3152 3166 3349 5242 6332 6698 10484 12664 13396 20968 25328 26792 26911 41936 44557 53584 53822 89114 107644 178228 215288 311851 356456 430576 516337 623702 712912 1032674 1247404 2065348 2494808 4130696 4149043 4989616 5301467 8261392 8298086 8777729 10602934 16596172 17555458 21205868 33192344 35110916 42411736 66384688 70221832 70533731 84823472 140443664 141067462 282134924 564269848 817361471 1128539696 1634722942 3269445884 6538891768 13077783536 13895145007 27790290014 55580580028 111161160056 222322320112