Search a number
-
+
2022302022000 = 243531388129429
BaseRepresentation
bin11101011011011010100…
…101111111100101110000
321011022220201000221201220
4131123122211333211300
5231113133304201000
64145011022425040
7266051346364251
oct35333245774560
97138821027656
102022302022000
1170a720852027
12287b28a32180
13118918b415b0
146dc467acb28
1537910db91a0
hex1d6da97f970

2022302022000 has 320 divisors, whose sum is σ = 7029641324160. Its totient is φ = 497215488000.

The previous prime is 2022302021953. The next prime is 2022302022029. The reversal of 2022302022000 is 2202032202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68703286 + ... + 68732714.

It is an arithmetic number, because the mean of its divisors is an integer number (21967629138).

Almost surely, 22022302022000 is an apocalyptic number.

2022302022000 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 2022302022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514820662080).

2022302022000 is an abundant number, since it is smaller than the sum of its proper divisors (5007339302160).

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

2022302022000 is a wasteful number, since it uses less digits than its factorization.

2022302022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30349 (or 30333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 2022302022000 its reverse (2202032202), we get a palindrome (2024504054202).

It can be divided in two parts, 202230202 and 2000, that added together give a palindrome (202232202).

The spelling of 2022302022000 in words is "two trillion, twenty-two billion, three hundred two million, twenty-two thousand".