Search a number
-
+
21332344320 = 293257294561
BaseRepresentation
bin10011110111100000…
…011011111000000000
32001001200120101001200
4103313200123320000
5322142040004240
613444442101200
71353430635450
oct236740337000
961050511050
1021332344320
119057609031
1241741aa800
13201c728961
141065225d60
1584cbe9930
hex4f781be00

21332344320 has 480 divisors, whose sum is σ = 87364854720. Its totient is φ = 4706795520.

The previous prime is 21332344301. The next prime is 21332344331. The reversal of 21332344320 is 2344323312.

21332344320 is a `hidden beast` number, since 2 + 1 + 332 + 3 + 4 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674840 + ... + 4679400.

It is an arithmetic number, because the mean of its divisors is an integer number (182010114).

Almost surely, 221332344320 is an apocalyptic number.

21332344320 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 21332344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43682427360).

21332344320 is an abundant number, since it is smaller than the sum of its proper divisors (66032510400).

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

21332344320 is a wasteful number, since it uses less digits than its factorization.

21332344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 21332344320 its reverse (2344323312), we get a palindrome (23676667632).

The spelling of 21332344320 in words is "twenty-one billion, three hundred thirty-two million, three hundred forty-four thousand, three hundred twenty".