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33221113420 = 225113112893779
BaseRepresentation
bin11110111100001000…
…011111011001001100
310011202020101102022011
4132330020133121030
51021014101112140
623132255431004
72254151543035
oct367410373114
9104666342264
1033221113420
11130a84a8240
126531825464
133195816a81
14187216ba8c
15ce67e7cea
hex7bc21f64c

33221113420 has 96 divisors (see below), whose sum is σ = 78643353600. Its totient is φ = 11678553600.

The previous prime is 33221113411. The next prime is 33221113463. The reversal of 33221113420 is 2431112233.

It is a super-2 number, since 2×332211134202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33221113391 and 33221113400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8789091 + ... + 8792869.

It is an arithmetic number, because the mean of its divisors is an integer number (819201600).

Almost surely, 233221113420 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 33221113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39321676800).

33221113420 is an abundant number, since it is smaller than the sum of its proper divisors (45422240180).

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

33221113420 is a wasteful number, since it uses less digits than its factorization.

33221113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33221113420 its reverse (2431112233), we get a palindrome (35652225653).

It can be divided in two parts, 33221 and 113420, that added together give a palindrome (146641).

The spelling of 33221113420 in words is "thirty-three billion, two hundred twenty-one million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1289 1364 1705 2578 3410 3779 5156 6445 6820 7558 12890 14179 15116 18895 25780 28358 37790 39959 41569 56716 70895 75580 79918 83138 117149 141790 159836 166276 199795 207845 234298 283580 399590 415690 439549 468596 585745 799180 831380 879098 1171490 1288639 1758196 2197745 2342980 2577278 4395490 4871131 5154556 6443195 8790980 9742262 12886390 19484524 24355655 25772780 48711310 53582441 97422620 107164882 151005061 214329764 267912205 302010122 535824410 604020244 755025305 1071648820 1510050610 1661055671 3020101220 3322111342 6644222684 8305278355 16610556710 33221113420