Search a number
-
+
222122012012112 = 24379146394001399
BaseRepresentation
bin110010100000010011001111…
…100111110110111001010000
31002010110122201221001211102210
4302200103033213312321100
5213103221340033341422
62104225235453312120
764533533345001432
oct6240231747667120
91063418657054383
10222122012012112
1164858464087813
1220ab4898495640
1396c3028ab3044
143cbca96d7c652
151aa2d8384010c
hexca04cf9f6e50

222122012012112 has 80 divisors (see below), whose sum is σ = 581118520320000. Its totient is φ = 73098434977152.

The previous prime is 222122012012099. The next prime is 222122012012137. The reversal of 222122012012112 is 211210210221222.

222122012012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2221220120121123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53510389 + ... + 57511787.

It is an arithmetic number, because the mean of its divisors is an integer number (7263981504000).

Almost surely, 2222122012012112 is an apocalyptic number.

It is an amenable number.

222122012012112 is an abundant number, since it is smaller than the sum of its proper divisors (358996508307888).

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

222122012012112 is a wasteful number, since it uses less digits than its factorization.

222122012012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016128 (or 4016122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 222122012012112 its reverse (211210210221222), we get a palindrome (433332222233334).

The spelling of 222122012012112 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 14639 29278 43917 58556 87834 117112 175668 234224 351336 702672 1156481 2312962 3469443 4001399 4625924 6938886 8002798 9251848 12004197 13877772 16005596 18503696 24008394 27755544 32011192 48016788 55511088 64022384 96033576 192067152 316110521 632221042 948331563 1264442084 1896663126 2528884168 3793326252 5057768336 7586652504 15173305008 58576479961 117152959922 175729439883 234305919844 351458879766 468611839688 702917759532 937223679376 1405835519064 2811671038128 4627541916919 9255083833838 13882625750757 18510167667676 27765251501514 37020335335352 55530503003028 74040670670704 111061006006056 222122012012112