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3220212012 = 2231722769539
BaseRepresentation
bin1011111111110000…
…1000100100101100
322022102101201102120
42333330020210230
523043333241022
61251312152540
7142541231133
oct27774104454
98272351376
103220212012
1114027a8a46
1275a538750
133c41c75c4
1422796a91a
1513ca91d5c
hexbff0892c

3220212012 has 48 divisors (see below), whose sum is σ = 7990980480. Its totient is φ = 1005797632.

The previous prime is 3220212007. The next prime is 3220212013. The reversal of 3220212012 is 2102120223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3220211982 and 3220212000.

It is not an unprimeable number, because it can be changed into a prime (3220212013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11539 + ... + 81077.

It is an arithmetic number, because the mean of its divisors is an integer number (166478760).

Almost surely, 23220212012 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 3220212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995490240).

3220212012 is an abundant number, since it is smaller than the sum of its proper divisors (4770768468).

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

3220212012 is a wasteful number, since it uses less digits than its factorization.

3220212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69790 (or 69788 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3220212012 is about 56746.9119159801. The cubic root of 3220212012 is about 1476.7086604437.

Adding to 3220212012 its reverse (2102120223), we get a palindrome (5322332235).

The spelling of 3220212012 in words is "three billion, two hundred twenty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 2724 3859 7718 11577 15436 23154 46308 69539 139078 208617 278156 417234 834468 1182163 2364326 3546489 4728652 7092978 14185956 15785353 31570706 47356059 63141412 94712118 189424236 268351001 536702002 805053003 1073404004 1610106006 3220212012