[go: up one dir, main page]

Search a number
-
+
3328888233 = 31132367541
BaseRepresentation
bin1100011001101010…
…1100110110101001
322120222220001011210
43012122230312221
523304143410413
61310153343333
7145331040336
oct30632546651
98528801153
103328888233
111459086000
1278aa07b49
13410888268
1423817998d
151473ac3c3
hexc66acda9

3328888233 has 64 divisors (see below), whose sum is σ = 5179889664. Its totient is φ = 1897473600.

The previous prime is 3328888229. The next prime is 3328888237.

3328888233 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3328888229) and next prime (3328888237).

It is not a de Polignac number, because 3328888233 - 22 = 3328888229 is a prime.

It is a super-2 number, since 2×33288882332 = 22162993735611724578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328888237) 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, 6152943 + ... + 6153483.

It is an arithmetic number, because the mean of its divisors is an integer number (80935776).

Almost surely, 23328888233 is an apocalyptic number.

3328888233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3328888233 is a deficient number, since it is larger than the sum of its proper divisors (1851001431).

3328888233 is a wasteful number, since it uses less digits than its factorization.

3328888233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 645 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 3328888233 is about 57696.5183784949. The cubic root of 3328888233 is about 1493.1372770168.

The spelling of 3328888233 in words is "three billion, three hundred twenty-eight million, eight hundred eighty-eight thousand, two hundred thirty-three".

Divisors: 1 3 11 23 33 67 69 121 201 253 363 541 737 759 1331 1541 1623 2211 2783 3993 4623 5951 8107 8349 12443 16951 17853 24321 30613 36247 37329 50853 65461 89177 91839 108741 136873 186461 196383 267531 398717 410619 559383 720071 833681 1196151 1505603 2051071 2160213 2501043 4385887 4516809 6153213 9170491 13157661 16561633 27511473 48244757 49684899 100875401 144734271 302626203 1109629411 3328888233