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22334201220 = 22353721314721
BaseRepresentation
bin10100110011001110…
…001101110110000100
32010122111201222100210
4110303032031312010
5331220023414340
614132111235420
71420314402162
oct246316156604
963574658323
1022334201220
11952108aa41
1243b3818b70
13214c1660a6
14111c2d8232
158aab46180
hex53338dd84

22334201220 has 96 divisors (see below), whose sum is σ = 64269668736. Its totient is φ = 5790873600.

The previous prime is 22334201203. The next prime is 22334201243. The reversal of 22334201220 is 2210243322.

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, 4728460 + ... + 4733180.

It is an arithmetic number, because the mean of its divisors is an integer number (669475716).

Almost surely, 222334201220 is an apocalyptic number.

22334201220 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 22334201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32134834368).

22334201220 is an abundant number, since it is smaller than the sum of its proper divisors (41935467516).

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

22334201220 is a wasteful number, since it uses less digits than its factorization.

22334201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22334201220 its reverse (2210243322), we get a palindrome (24544444542).

The spelling of 22334201220 in words is "twenty-two billion, three hundred thirty-four million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2131 2220 4262 4721 6393 8524 9442 10655 12786 14163 18884 21310 23605 25572 28326 31965 42620 47210 56652 63930 70815 78847 94420 127860 141630 157694 174677 236541 283260 315388 349354 394235 473082 524031 698708 788470 873385 946164 1048062 1182705 1576940 1746770 2096124 2365410 2620155 3493540 4730820 5240310 10060451 10480620 20120902 30181353 40241804 50302255 60362706 100604510 120725412 150906765 201209020 301813530 372236687 603627060 744473374 1116710061 1488946748 1861183435 2233420122 3722366870 4466840244 5583550305 7444733740 11167100610 22334201220