Search a number
-
+
3321011220 = 2235375092939
BaseRepresentation
bin1100010111110010…
…1001110000010100
322120110001211221120
43011330221300110
523300134324340
61305312443540
7145204062312
oct30574516024
98513054846
103321011220
11145469597a
127882495b0
1340c05aac7
142370c90b2
151468534d0
hexc5f29c14

3321011220 has 96 divisors (see below), whose sum is σ = 9572169600. Its totient is φ = 859682304.

The previous prime is 3321011207. The next prime is 3321011339. The reversal of 3321011220 is 221101233.

It is a super-2 number, since 2×33210112202 = 22058231046731776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3321011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128511 + ... + 1131449.

It is an arithmetic number, because the mean of its divisors is an integer number (99710100).

Almost surely, 23321011220 is an apocalyptic number.

3321011220 is a gapful number since it is divisible by the number (30) 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 3321011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786084800).

3321011220 is an abundant number, since it is smaller than the sum of its proper divisors (6251158380).

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

3321011220 is a wasteful number, since it uses less digits than its factorization.

3321011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3321011220 is about 57628.2154851250. The cubic root of 3321011220 is about 1491.9586301711.

Adding to 3321011220 its reverse (221101233), we get a palindrome (3542112453).

The spelling of 3321011220 in words is "three billion, three hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 509 555 740 1018 1110 1527 2036 2220 2545 2939 3054 5090 5878 6108 7635 8817 10180 11756 14695 15270 17634 18833 29390 30540 35268 37666 44085 56499 58780 75332 88170 94165 108743 112998 176340 188330 217486 225996 282495 326229 376660 434972 543715 564990 652458 1087430 1129980 1304916 1495951 1631145 2174860 2991902 3262290 4487853 5983804 6524580 7479755 8975706 14959510 17951412 22439265 29919020 44878530 55350187 89757060 110700374 166050561 221400748 276750935 332101122 553501870 664202244 830252805 1107003740 1660505610 3321011220