Search a number
-
+
7228134 = 2322961227
BaseRepresentation
bin11011100100101011100110
3111121020010200
4123210223212
53322300014
6414531330
7115303164
oct33445346
914536120
107228134
114097671
122506b46
131661004
14d62234
1597ba09
hex6e4ae6

7228134 has 48 divisors (see below), whose sum is σ = 16539120. Its totient is φ = 2278080.

The previous prime is 7228129. The next prime is 7228147. The reversal of 7228134 is 4318227.

It is a super-2 number, since 2×72281342 = 104491842243912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7228098 and 7228107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31729 + ... + 31955.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 27228134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7228134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269560).

7228134 is an abundant number, since it is smaller than the sum of its proper divisors (9310986).

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

7228134 is a wasteful number, since it uses less digits than its factorization.

7228134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

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

The square root of 7228134 is about 2688.5189231248. The cubic root of 7228134 is about 193.3490600234.

The spelling of 7228134 in words is "seven million, two hundred twenty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 174 183 227 261 366 454 522 549 681 1098 1362 1769 2043 3538 4086 5307 6583 10614 13166 13847 15921 19749 27694 31842 39498 41541 59247 83082 118494 124623 249246 401563 803126 1204689 2409378 3614067 7228134