Search a number
-
+
7335228 = 2231741877
BaseRepresentation
bin11011111110110100111100
3111210200001010
4123332310330
53334211403
6421115220
7116230335
oct33766474
914720033
107335228
11416007a
122558b10
13169a994
14d8d28c
1599d603
hex6fed3c

7335228 has 48 divisors (see below), whose sum is σ = 18585504. Its totient is φ = 2242560.

The previous prime is 7335221. The next prime is 7335239. The reversal of 7335228 is 8225337.

It is a d-powerful number, because it can be written as 78 + 32 + 34 + 58 + 217 + 220 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 7335195 and 7335204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7335221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7926 + ... + 8802.

It is an arithmetic number, because the mean of its divisors is an integer number (387198).

Almost surely, 27335228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7335228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292752).

7335228 is an abundant number, since it is smaller than the sum of its proper divisors (11250276).

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

7335228 is a wasteful number, since it uses less digits than its factorization.

7335228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 940 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 7335228 is about 2708.3626049700. The cubic root of 7335228 is about 194.2992865168.

The spelling of 7335228 in words is "seven million, three hundred thirty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 877 1394 1754 2091 2631 2788 3508 4182 5262 8364 10524 14909 29818 35957 44727 59636 71914 89454 107871 143828 178908 215742 431484 611269 1222538 1833807 2445076 3667614 7335228