Search a number
-
+
21223112223000 = 2335367569185567
BaseRepresentation
bin1001101001101011001000…
…00100001010100100011000
32210010220120011220012020110
410310311210010022210120
510240204413212114000
6113045432501524320
74320214335255162
oct464654404124430
983126504805213
1021223112223000
116842742623376
1224692214136a0
13bac43bc90a2c
145352c0127932
1526c0ddb4c850
hex134d6410a918

21223112223000 has 256 divisors, whose sum is σ = 67322882764800. Its totient is φ = 5565198566400.

The previous prime is 21223112222981. The next prime is 21223112223007. The reversal of 21223112223000 is 32221132212.

21223112223000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223112223007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114276217 + ... + 114461783.

It is an arithmetic number, because the mean of its divisors is an integer number (262980010800).

Almost surely, 221223112223000 is an apocalyptic number.

21223112223000 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 21223112223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33661441382400).

21223112223000 is an abundant number, since it is smaller than the sum of its proper divisors (46099770541800).

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

21223112223000 is a wasteful number, since it uses less digits than its factorization.

21223112223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186227 (or 186213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21223112223000 its reverse (32221132212), we get a palindrome (21255333355212).

The spelling of 21223112223000 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred twelve million, two hundred twenty-three thousand".