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3142022226 = 2372329591901
BaseRepresentation
bin1011101101000111…
…0111010001010010
322002222021021012120
42323101313101102
522413324202401
61235440235110
7140601514440
oct27321672122
98088237176
103142022226
111372653892
1273830ba96
133b0c4c165
1421b415b90
15135c99836
hexbb477452

3142022226 has 128 divisors (see below), whose sum is σ = 7887974400. Its totient is φ = 814598400.

The previous prime is 3142022201. The next prime is 3142022227. The reversal of 3142022226 is 6222202413.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3142022196 and 3142022205.

It is not an unprimeable number, because it can be changed into a prime (3142022227) 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, 1651876 + ... + 1653776.

It is an arithmetic number, because the mean of its divisors is an integer number (61624800).

Almost surely, 23142022226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142022226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943987200).

3142022226 is an abundant number, since it is smaller than the sum of its proper divisors (4745952174).

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

3142022226 is a wasteful number, since it uses less digits than its factorization.

3142022226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3142022226 is about 56053.7440854757. The cubic root of 3142022226 is about 1464.6586392236.

Adding to 3142022226 its reverse (6222202413), we get a palindrome (9364224639).

The spelling of 3142022226 in words is "three billion, one hundred forty-two million, twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 59 69 87 118 138 161 174 177 203 322 354 406 413 483 609 667 826 966 1218 1239 1334 1357 1711 1901 2001 2478 2714 3422 3802 4002 4071 4669 5133 5703 8142 9338 9499 10266 11406 11977 13307 14007 18998 23954 26614 28014 28497 35931 39353 39921 43723 55129 56994 71862 78706 79842 87446 110258 112159 118059 131169 165387 224318 236118 262338 275471 306061 330774 336477 385903 550942 612122 672954 771806 785113 826413 918183 1157709 1267967 1570226 1652826 1836366 2315418 2355339 2535934 2579657 3252611 3803901 4710678 5159314 6505222 7607802 7738971 8875769 9757833 15477942 17751538 18057599 19515666 22768277 26627307 36115198 45536554 53254614 54172797 68304831 74810053 108345594 136609662 149620106 224430159 448860318 523670371 1047340742 1571011113 3142022226