Search a number
-
+
2022231112 = 2311532811543
BaseRepresentation
bin111100010001000…
…1100110001001000
312012221011222120121
41320202030301020
513120142343422
6532355233024
7101053452346
oct17042146110
95187158517
102022231112
11948551190
124852a8774
13262c5c175
14152804996
15bc8048c7
hex7888cc48

2022231112 has 64 divisors (see below), whose sum is σ = 4232165760. Its totient is φ = 898060800.

The previous prime is 2022231097. The next prime is 2022231137. The reversal of 2022231112 is 2111322202.

It is a happy 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, 1309813 + ... + 1311355.

It is an arithmetic number, because the mean of its divisors is an integer number (66127590).

Almost surely, 22022231112 is an apocalyptic number.

2022231112 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 2022231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116082880).

2022231112 is an abundant number, since it is smaller than the sum of its proper divisors (2209934648).

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

2022231112 is a wasteful number, since it uses less digits than its factorization.

2022231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2022231112 is about 44969.2240537904. The cubic root of 2022231112 is about 1264.5721002194.

Adding to 2022231112 its reverse (2111322202), we get a palindrome (4133553314).

The spelling of 2022231112 in words is "two billion, twenty-two million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 281 424 562 583 1124 1166 1543 2248 2332 3086 3091 4664 6172 6182 12344 12364 14893 16973 24728 29786 33946 59572 67892 81779 119144 135784 163558 163823 327116 327646 433583 654232 655292 867166 899569 1310584 1734332 1799138 3468664 3598276 4769413 7196552 9538826 19077652 22979899 38155304 45959798 91919596 183839192 252778889 505557778 1011115556 2022231112