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222242023014 = 231122933732801
BaseRepresentation
bin1100111011111010101…
…0000010011001100110
3210020122102120112010120
43032332222002121212
512120122424214024
6250032505502410
722025236012104
oct3167652023146
9706572515116
10222242023014
1186285912300
12370a44a1a06
1317c5a34ca3b
14aa84062c74
155baae5d479
hex33bea82666

222242023014 has 96 divisors (see below), whose sum is σ = 491722352352. Its totient is φ = 66912384000.

The previous prime is 222242023013. The next prime is 222242023037. The reversal of 222242023014 is 410320242222.

222242023014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222242023013) 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, 79342414 + ... + 79345214.

It is an arithmetic number, because the mean of its divisors is an integer number (5122107837).

Almost surely, 2222242023014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222242023014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245861176176).

222242023014 is an abundant number, since it is smaller than the sum of its proper divisors (269480329338).

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

222242023014 is a wasteful number, since it uses less digits than its factorization.

222242023014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222242023014 its reverse (410320242222), we get a palindrome (632562265236).

The spelling of 222242023014 in words is "two hundred twenty-two billion, two hundred forty-two million, twenty-three thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 293 363 373 586 726 746 879 1119 1758 2238 2801 3223 4103 5602 6446 8206 8403 9669 12309 16806 19338 24618 30811 35453 45133 61622 70906 90266 92433 106359 109289 135399 184866 212718 218578 270798 327867 338921 655734 677842 820693 1016763 1044773 1202179 1641386 2033526 2089546 2404358 2462079 3134319 3606537 4924158 6268638 7213074 9027623 11492503 13223969 18055246 22985006 26447938 27082869 34477509 39671907 54165738 68955018 79343814 99303853 126417533 198607706 252835066 297911559 306118489 379252599 595823118 612236978 758505198 918355467 1836710934 3367303379 6734606758 10101910137 20203820274 37040337169 74080674338 111121011507 222242023014