Search a number
-
+
22111201122220 = 22571079601153739
BaseRepresentation
bin1010000011100001010100…
…10010011101011110101100
32220021210212121211122221001
411001300222102131132230
510344232214441402340
6115005425013050044
74441324114331320
oct501605222353654
986253777748831
1022111201122220
117055342660921
122591370626924
13c45100b401c2
1456628b633980
1528526a61929a
hex141c2a49d7ac

22111201122220 has 96 divisors (see below), whose sum is σ = 53568762186240. Its totient is φ = 7509301862400.

The previous prime is 22111201122097. The next prime is 22111201122223. The reversal of 22111201122220 is 2222110211122.

It is not an unprimeable number, because it can be changed into a prime (22111201122223) 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, 143746111 + ... + 143899849.

It is an arithmetic number, because the mean of its divisors is an integer number (558007939440).

Almost surely, 222111201122220 is an apocalyptic number.

22111201122220 is a gapful number since it is divisible by the number (20) 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 22111201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784381093120).

22111201122220 is an abundant number, since it is smaller than the sum of its proper divisors (31457561064020).

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

22111201122220 is a wasteful number, since it uses less digits than its factorization.

22111201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163463 (or 163461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22111201122220 its reverse (2222110211122), we get a palindrome (24333311333342).

The spelling of 22111201122220 in words is "twenty-two trillion, one hundred eleven billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 9601 14980 19202 38404 48005 67207 96010 134414 153739 192020 268828 307478 336035 614956 672070 768695 1027307 1076173 1344140 1537390 2054614 2152346 3074780 4109228 4304692 5136535 5380865 7191149 10273070 10761730 14382298 16450073 20546140 21523460 28764596 32900146 35955745 65800292 71911490 82250365 115150511 143822980 164500730 230301022 329001460 460602044 575752555 1151505110 1476048139 2303010220 2952096278 5904192556 7380240695 10332336973 14760481390 20664673946 29520962780 41329347892 51661684865 103323369730 157937150873 206646739460 315874301746 631748603492 789685754365 1105560056111 1579371508730 2211120112222 3158743017460 4422240224444 5527800280555 11055600561110 22111201122220