Search a number
-
+
3228147 = 331317541
BaseRepresentation
bin1100010100000111110011
320002000012000
430110013303
51311300042
6153105043
736303336
oct14240763
96060160
103228147
11190539a
1210b8183
13890460
1460061d
1543b74c
hex3141f3

3228147 has 32 divisors (see below), whose sum is σ = 5463360. Its totient is φ = 1866240.

The previous prime is 3228143. The next prime is 3228149. The reversal of 3228147 is 7418223.

3228147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3228147 - 22 = 3228143 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3228147.

It is not an unprimeable number, because it can be changed into a prime (3228143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5697 + ... + 6237.

It is an arithmetic number, because the mean of its divisors is an integer number (170730).

Almost surely, 23228147 is an apocalyptic number.

3228147 is a deficient number, since it is larger than the sum of its proper divisors (2235213).

3228147 is a wasteful number, since it uses less digits than its factorization.

3228147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3228147 is about 1796.7044832136. The cubic root of 3228147 is about 147.7920594527.

It can be divided in two parts, 3228 and 147, that added together give a cube (3375 = 153).

The spelling of 3228147 in words is "three million, two hundred twenty-eight thousand, one hundred forty-seven".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 541 663 1623 1989 4869 5967 7033 9197 14607 21099 27591 63297 82773 119561 189891 248319 358683 1076049 3228147