Search a number
-
+
4022000000020 = 225201100000001
BaseRepresentation
bin111010100001110001111…
…000011001110000010100
3112020111111002120111102201
4322201301320121300110
51011344024000000040
612315403054214244
7563402623631632
oct72416170316024
915214432514381
104022000000020
1113107a2168272
1254b5a77b4384
1323237194a722
14dc9470c0352
156e94c5d8a9a
hex3a871e19c14

4022000000020 has 12 divisors (see below), whose sum is σ = 8446200000084. Its totient is φ = 1608800000000.

The previous prime is 4021999999999. The next prime is 4022000000027. The reversal of 4022000000020 is 200000002204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1596573765136 + 2425426234884 = 1263556^2 + 1557378^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 4021999999943 and 4022000000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022000000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100549999981 + ... + 100550000020.

It is an arithmetic number, because the mean of its divisors is an integer number (703850000007).

Almost surely, 24022000000020 is an apocalyptic number.

It is an amenable number.

4022000000020 is an abundant number, since it is smaller than the sum of its proper divisors (4424200000064).

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

4022000000020 is a wasteful number, since it uses less digits than its factorization.

4022000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201100000010 (or 201100000008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 4022000000020 its reverse (200000002204), we get a palindrome (4222000002224).

The spelling of 4022000000020 in words is "four trillion, twenty-two billion, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 201100000001 402200000002 804400000004 1005500000005 2011000000010 4022000000020