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22222122221112 = 23311612116539873
BaseRepresentation
bin1010000110101111111011…
…01100110111111000111000
32220200102011220110022102220
411003113331230313320320
510403041401242033422
6115132411345124040
74452331622164302
oct503277554677070
986612156408386
1022222122221112
117098392734190
1225aa967929620
13c526ca110128
1456b7b0ca6972
152880ad509e5c
hex1435fdb37e38

22222122221112 has 128 divisors (see below), whose sum is σ = 61891274776320. Its totient is φ = 6592190976000.

The previous prime is 22222122221087. The next prime is 22222122221113. The reversal of 22222122221112 is 21112222122222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222122221113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128008 + ... + 6667880.

It is an arithmetic number, because the mean of its divisors is an integer number (483525584190).

Almost surely, 222222122221112 is an apocalyptic number.

22222122221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30945637388160).

22222122221112 is an abundant number, since it is smaller than the sum of its proper divisors (39669152555208).

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

22222122221112 is a wasteful number, since it uses less digits than its factorization.

22222122221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540165 (or 6540161 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 22222122221112 its reverse (21112222122222), we get a palindrome (43334344343334).

The spelling of 22222122221112 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 211 244 264 366 422 488 633 671 732 844 1266 1342 1464 1688 2013 2321 2532 2684 4026 4642 5064 5368 6963 8052 9284 12871 13926 16104 18568 25742 27852 38613 51484 55704 77226 102968 141581 154452 283162 308904 424743 566324 849486 1132648 1698972 3397944 6539873 13079746 19619619 26159492 39239238 52318984 71938603 78478476 143877206 156956952 215815809 287754412 398932253 431631618 575508824 797864506 863263236 1196796759 1379913203 1595729012 1726526472 2393593518 2759826406 3191458024 4139739609 4388254783 4787187036 5519652812 8279479218 8776509566 9574374072 11039305624 13164764349 15179045233 16558958436 17553019132 26329528698 30358090466 33117916872 35106038264 45537135699 52659057396 60716180932 84174705383 91074271398 105318114792 121432361864 168349410766 182148542796 252524116149 336698821532 364297085592 505048232298 673397643064 925921759213 1010096464596 1851843518426 2020192929192 2777765277639 3703687036852 5555530555278 7407374073704 11111061110556 22222122221112