Search a number
-
+
222213311112 = 233132396414649
BaseRepresentation
bin1100111011110011110…
…0100000101010001000
3210020120102112210210210
43032330330200222020
512120043101423422
6250030002241120
722024436656662
oct3167474405210
9706512483723
10222213311112
1186270691661
12370969561a0
1317c54409150
14aa8030b532
155ba868b10c
hex33bcf20a88

222213311112 has 128 divisors (see below), whose sum is σ = 601836480000. Its totient is φ = 67966402560.

The previous prime is 222213311087. The next prime is 222213311123. The reversal of 222213311112 is 211113312222.

222213311112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 47795764 + ... + 47800412.

It is an arithmetic number, because the mean of its divisors is an integer number (4701847500).

Almost surely, 2222213311112 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 222213311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300918240000).

222213311112 is an abundant number, since it is smaller than the sum of its proper divisors (379623168888).

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

222213311112 is a wasteful number, since it uses less digits than its factorization.

222213311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5547 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 222213311112 its reverse (211113312222), we get a palindrome (433326623334).

It can be divided in two parts, 22221 and 3311112, that added together give a palindrome (3333333).

The spelling of 222213311112 in words is "two hundred twenty-two billion, two hundred thirteen million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 239 312 478 641 717 956 1282 1434 1912 1923 2564 2868 3107 3846 4649 5128 5736 6214 7692 8333 9298 9321 12428 13947 15384 16666 18596 18642 24856 24999 27894 33332 37192 37284 49998 55788 60437 66664 74568 99996 111576 120874 153199 181311 199992 241748 306398 362622 459597 483496 612796 725244 919194 1111111 1225592 1450488 1838388 1991587 2222222 2980009 3333333 3676776 3983174 4444444 5960018 5974761 6666666 7966348 8888888 8940027 11920036 11949522 13333332 14444443 15932696 17880054 23840072 23899044 26666664 28888886 35760108 38740117 43333329 47798088 57777772 71520216 77480234 86666658 115555544 116220351 154960468 173333316 232440702 309920936 346666632 464881404 712222151 929762808 1424444302 2136666453 2848888604 4273332906 5697777208 8546665812 9258887963 17093331624 18517775926 27776663889 37035551852 55553327778 74071103704 111106655556 222213311112