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21220334304444 = 223311233492225269
BaseRepresentation
bin1001101001100101111100…
…11111001111110010111100
32210010122101120202022101000
410310302332133033302330
510240133221040220234
6113044253105250300
74320055444325232
oct464627637176274
983118346668330
1021220334304444
116841547558010
122468787033990
13bac0b85c5442
145350d9210952
1526bec9d25899
hex134cbe7cfcbc

21220334304444 has 192 divisors, whose sum is σ = 62806020480000. Its totient is φ = 6133194650880.

The previous prime is 21220334304383. The next prime is 21220334304469. The reversal of 21220334304444 is 44440343302212.

21220334304444 is a `hidden beast` number, since 2 + 1 + 2 + 203 + 3 + 4 + 3 + 0 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21220334304399 and 21220334304408.

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, 8423442 + ... + 10648710.

It is an arithmetic number, because the mean of its divisors is an integer number (327114690000).

Almost surely, 221220334304444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220334304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31403010240000).

21220334304444 is an abundant number, since it is smaller than the sum of its proper divisors (41585686175556).

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

21220334304444 is a wasteful number, since it uses less digits than its factorization.

21220334304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225665 (or 2225657 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 21220334304444 its reverse (44440343302212), we get a palindrome (65660677606656).

The spelling of 21220334304444 in words is "twenty-one trillion, two hundred twenty billion, three hundred thirty-four million, three hundred four thousand, four hundred forty-four".