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4201221332 = 22711671631249
BaseRepresentation
bin1111101001101001…
…1000110011010100
3101211210100011020002
43322122120303110
532101003040312
61532514430432
7206052535460
oct37232306324
911753304202
104201221332
111866530850
12992b92418
1351c5158a9
142bbd734a0
15198c714c2
hexfa698cd4

4201221332 has 96 divisors (see below), whose sum is σ = 9367680000. Its totient is φ = 1601233920.

The previous prime is 4201221281. The next prime is 4201221359. The reversal of 4201221332 is 2331221024.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3363044 + ... + 3364292.

It is an arithmetic number, because the mean of its divisors is an integer number (97580000).

Almost surely, 24201221332 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 4201221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683840000).

4201221332 is an abundant number, since it is smaller than the sum of its proper divisors (5166458668).

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

4201221332 is a wasteful number, since it uses less digits than its factorization.

4201221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4201221332 is about 64816.8290801085. The cubic root of 4201221332 is about 1613.5850222992.

Adding to 4201221332 its reverse (2331221024), we get a palindrome (6532442356).

The spelling of 4201221332 in words is "four billion, two hundred one million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 163 268 308 326 469 652 737 938 1141 1249 1474 1793 1876 2282 2498 2948 3586 4564 4996 5159 7172 8743 10318 10921 12551 13739 17486 20636 21842 25102 27478 34972 43684 50204 54956 76447 83683 96173 120131 152894 167366 192346 203587 240262 305788 334732 384692 407174 480524 585781 814348 840917 920513 1171562 1425109 1681834 1841026 2239457 2343124 2850218 3363668 3682052 4478914 5700436 6443591 8957828 12887182 13640329 15676199 25774364 27280658 31352398 54561316 62704796 95482303 150043619 190964606 300087238 381929212 600174476 1050305333 2100610666 4201221332