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4221344022 = 237249129243
BaseRepresentation
bin1111101110011100…
…1001100100010110
3101220012012111100220
43323213021210112
532121131002042
61534514015210
7206415555300
oct37347114426
911805174326
104221344022
111876925275
12999877506
1352373cacc
142c08d0970
1519a8e88ec
hexfb9c9916

4221344022 has 48 divisors (see below), whose sum is σ = 9841424832. Its totient is φ = 1203600720.

The previous prime is 4221344011. The next prime is 4221344027. The reversal of 4221344022 is 2204431224.

It is a junction number, because it is equal to n+sod(n) for n = 4221343983 and 4221344001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221344027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129733 + ... + 158975.

It is an arithmetic number, because the mean of its divisors is an integer number (205029684).

Almost surely, 24221344022 is an apocalyptic number.

4221344022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221344022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920712416).

4221344022 is an abundant number, since it is smaller than the sum of its proper divisors (5620080810).

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

4221344022 is a wasteful number, since it uses less digits than its factorization.

4221344022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29753 (or 29746 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4221344022 is about 64971.8710058438. The cubic root of 4221344022 is about 1616.1571289862.

Adding to 4221344022 its reverse (2204431224), we get a palindrome (6425775246).

The spelling of 4221344022 in words is "four billion, two hundred twenty-one million, three hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 491 982 1473 2946 3437 6874 10311 20622 24059 29243 48118 58486 72177 87729 144354 175458 204701 409402 614103 1228206 1432907 2865814 4298721 8597442 14358313 28716626 43074939 86149878 100508191 201016382 301524573 603049146 703557337 1407114674 2110672011 4221344022