Search a number
-
+
3321222333044 = 22711292111762247
BaseRepresentation
bin110000010101001000010…
…001110000001001110100
3102202111122200202112011012
4300111020101300021310
5413403330404124134
611021425400531352
7461643662015510
oct60251021601164
912674580675135
103321222333044
1110705824719a0
12457812780b58
131b1261349c15
14b6a687c5140
155b5d511b6ce
hex30548470274

3321222333044 has 96 divisors (see below), whose sum is σ = 7531706972160. Its totient is φ = 1243440777600.

The previous prime is 3321222333041. The next prime is 3321222333053. The reversal of 3321222333044 is 4403332221233.

It is a happy number.

It is a super-2 number, since 2×33212223330442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3321222333044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321222333041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003529 + ... + 2765775.

It is an arithmetic number, because the mean of its divisors is an integer number (78455280960).

Almost surely, 23321222333044 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 3321222333044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765853486080).

3321222333044 is an abundant number, since it is smaller than the sum of its proper divisors (4210484639116).

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

3321222333044 is a wasteful number, since it uses less digits than its factorization.

3321222333044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762509 (or 1762507 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 3321222333044 its reverse (4403332221233), we get a palindrome (7724554554277).

The spelling of 3321222333044 in words is "three trillion, three hundred twenty-one billion, two hundred twenty-two million, three hundred thirty-three thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 211 308 319 406 422 638 812 844 1276 1477 2233 2321 2954 4466 4642 5908 6119 8932 9284 12238 16247 24476 32494 42833 64988 67309 85666 134618 171332 269236 471163 942326 1762247 1884652 3524494 7048988 12335729 19384717 24671458 38769434 49342916 51105163 77538868 102210326 135693019 204420652 271386038 357736141 371834117 542772076 562156793 715472282 743668234 1124313586 1430944564 1487336468 2248627172 2602838819 3935097551 4090175287 5205677638 7870195102 8180350574 10411355276 10783189393 15740390204 16360701148 21566378786 28631227009 43132757572 57262454018 75482325751 114524908036 118615083323 150964651502 237230166646 301929303004 474460333292 830305583261 1660611166522 3321222333044