Search a number
-
+
22022010020000 = 255431372274229
BaseRepresentation
bin1010000000111011001100…
…00101011010000010100000
32212222021122202001012221202
411000131212011122002200
510341302034031120000
6114500434410140332
74432015636430324
oct500354605320240
985867582035852
1022022010020000
1170205335a86a1
12257801a7216a8
13c39888797a83
14561c29d39984
15282c9a2c0dd5
hex14076615a0a0

22022010020000 has 480 divisors, whose sum is σ = 57703263045120. Its totient is φ = 8255761920000.

The previous prime is 22022010019967. The next prime is 22022010020009. The reversal of 22022010020000 is 2001022022.

It is not an unprimeable number, because it can be changed into a prime (22022010020009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5207377886 + ... + 5207382114.

It is an arithmetic number, because the mean of its divisors is an integer number (120215131344).

Almost surely, 222022010020000 is an apocalyptic number.

22022010020000 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 22022010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28851631522560).

22022010020000 is an abundant number, since it is smaller than the sum of its proper divisors (35681253025120).

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

22022010020000 is a wasteful number, since it uses less digits than its factorization.

22022010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22022010020000 its reverse (2001022022), we get a palindrome (22024011042022).

The spelling of 22022010020000 in words is "twenty-two trillion, twenty-two billion, ten million, twenty thousand".