Search a number
-
+
442000022022 = 233134115356821
BaseRepresentation
bin1100110111010010100…
…00010001101000000110
31120020212202000112221000
412123221100101220012
524220204001201042
6535015122234130
743635113124546
oct6335120215006
91506782015830
10442000022022
111604a65425a9
12717b4ab5946
13328acb74c90
1417570233326
15b76dc9974c
hex66e9411a06

442000022022 has 64 divisors (see below), whose sum is σ = 1083577360320. Its totient is φ = 132682924800.

The previous prime is 442000021993. The next prime is 442000022041. The reversal of 442000022022 is 220220000244.

442000022022 is a `hidden beast` number, since 4 + 420 + 0 + 0 + 0 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442000021986 and 442000022004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7649629 + ... + 7707192.

It is an arithmetic number, because the mean of its divisors is an integer number (16930896255).

Almost surely, 2442000022022 is an apocalyptic number.

442000022022 is an abundant number, since it is smaller than the sum of its proper divisors (641577338298).

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

442000022022 is a wasteful number, since it uses less digits than its factorization.

442000022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15356886 (or 15356880 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 442000022022 its reverse (220220000244), we get a palindrome (662220022266).

The spelling of 442000022022 in words is "four hundred forty-two billion, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 702 738 1066 1107 1599 2214 3198 4797 9594 14391 28782 15356821 30713642 46070463 92140926 138211389 199638673 276422778 399277346 414634167 598916019 629629661 829268334 1197832038 1259259322 1796748057 1888888983 3593496114 3777777966 5390244171 5666666949 8185185593 10780488342 11333333898 16370371186 17000000847 24555556779 34000001694 49111113558 73666670337 147333340674 221000011011 442000022022