Search a number
-
+
3230410122 = 2322319140853
BaseRepresentation
bin1100000010001100…
…0010010110001010
322100010120211121100
43000203002112022
523103441110442
61252314522230
7143024014212
oct30043022612
98303524540
103230410122
111408533a35
12761a36376
133c63583a4
14229063242
1513d90884c
hexc08c258a

3230410122 has 48 divisors (see below), whose sum is σ = 7341954048. Its totient is φ = 1024568160.

The previous prime is 3230410111. The next prime is 3230410133. The reversal of 3230410122 is 2210140323.

3230410122 is a `hidden beast` number, since 3 + 230 + 410 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (3230410111) and next prime (3230410133).

It is a super-3 number, since 3×32304101223 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3230410095 and 3230410104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58648 + ... + 99500.

It is an arithmetic number, because the mean of its divisors is an integer number (152957376).

Almost surely, 23230410122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230410122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670977024).

3230410122 is an abundant number, since it is smaller than the sum of its proper divisors (4111543926).

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

3230410122 is a wasteful number, since it uses less digits than its factorization.

3230410122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41075 (or 41072 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3230410122 is about 56836.6969659568. The cubic root of 3230410122 is about 1478.2658837698.

Adding to 3230410122 its reverse (2210140323), we get a palindrome (5440550445).

The spelling of 3230410122 in words is "three billion, two hundred thirty million, four hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 191 207 382 414 573 1146 1719 3438 4393 8786 13179 26358 39537 40853 79074 81706 122559 245118 367677 735354 939619 1879238 2818857 5637714 7802923 8456571 15605846 16913142 23408769 46817538 70226307 140452614 179467229 358934458 538401687 1076803374 1615205061 3230410122