Search a number
-
+
8228916 = 2232228581
BaseRepresentation
bin11111011001000000110100
3120111001221200
4133121000310
54101311131
6452212500
7126642003
oct37310064
916431850
108228916
114710563
12290a130
1319216a7
141142c3a
15ac82e6
hex7d9034

8228916 has 18 divisors (see below), whose sum is σ = 20800962. Its totient is φ = 2742960.

The previous prime is 8228903. The next prime is 8228947. The reversal of 8228916 is 6198228.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 1572516 = 2580^2 + 1254^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 228581 = 8228916 / (8 + 2 + 2 + 8 + 9 + 1 + 6).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 114255 + ... + 114326.

It is an arithmetic number, because the mean of its divisors is an integer number (1155609).

Almost surely, 28228916 is an apocalyptic number.

It is an amenable number.

8228916 is an abundant number, since it is smaller than the sum of its proper divisors (12572046).

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

8228916 is a wasteful number, since it uses less digits than its factorization.

8228916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228591 (or 228586 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8228916 is about 2868.6087220114. The cubic root of 8228916 is about 201.8897218542.

The spelling of 8228916 in words is "eight million, two hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 228581 457162 685743 914324 1371486 2057229 2742972 4114458 8228916