Search a number
-
+
3321275022 = 2331343472341
BaseRepresentation
bin1100010111110110…
…1010001010001110
322120110120020211000
43011331222022032
523300221300042
61305322241130
7145206241362
oct30575521216
98513506730
103321275022
11145485609a
127883561a6
1340c120bc0
142371572a2
151468a674c
hexc5f6a28e

3321275022 has 128 divisors (see below), whose sum is σ = 8309790720. Its totient is φ = 976510080.

The previous prime is 3321275021. The next prime is 3321275029. The reversal of 3321275022 is 2205721233.

It is a happy number.

3321275022 is a `hidden beast` number, since 3 + 32 + 127 + 502 + 2 = 666.

It is a super-2 number, since 2×33212750222 = 22061735543522200968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321275021) 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 63 ways as a sum of consecutive naturals, for example, 1417572 + ... + 1419912.

It is an arithmetic number, because the mean of its divisors is an integer number (64920240).

Almost surely, 23321275022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321275022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154895360).

3321275022 is an abundant number, since it is smaller than the sum of its proper divisors (4988515698).

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

3321275022 is a wasteful number, since it uses less digits than its factorization.

3321275022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3321275022 is about 57630.5042664039. The cubic root of 3321275022 is about 1491.9981333248.

Adding to 3321275022 its reverse (2205721233), we get a palindrome (5526996255).

The spelling of 3321275022 in words is "three billion, three hundred twenty-one million, two hundred seventy-five thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 47 54 78 86 94 117 129 141 234 258 282 351 387 423 559 611 702 774 846 1118 1161 1222 1269 1677 1833 2021 2322 2341 2538 3354 3666 4042 4682 5031 5499 6063 7023 10062 10998 12126 14046 15093 16497 18189 21069 26273 30186 30433 32994 36378 42138 52546 54567 60866 63207 78819 91299 100663 109134 110027 126414 157638 182598 201326 220054 236457 273897 301989 330081 472914 547794 603978 660162 709371 821691 905967 990243 1308619 1418742 1430351 1643382 1811934 1980486 2617238 2717901 2860702 2970729 3925857 4291053 4731161 5435802 5941458 7851714 8582106 9462322 11777571 12873159 14193483 23555142 25746318 28386966 35332713 38619477 42580449 61505093 70665426 77238954 85160898 123010186 127741347 184515279 255482694 369030558 553545837 1107091674 1660637511 3321275022