Search a number
-
+
8226980 = 2251724197
BaseRepresentation
bin11111011000100010100100
3120110222021222
4133120202210
54101230410
6452155512
7126633236
oct37304244
916428258
108226980
11470a063
122908b98
131920848
141142256
15ac7955
hex7d88a4

8226980 has 24 divisors (see below), whose sum is σ = 18293688. Its totient is φ = 3097088.

The previous prime is 8226973. The next prime is 8226989. The reversal of 8226980 is 896228.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 7365796 = 928^2 + 2714^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8226980.

It is not an unprimeable number, because it can be changed into a prime (8226989) 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 7 ways as a sum of consecutive naturals, for example, 11759 + ... + 12438.

It is an arithmetic number, because the mean of its divisors is an integer number (762237).

Almost surely, 28226980 is an apocalyptic number.

It is an amenable number.

8226980 is an abundant number, since it is smaller than the sum of its proper divisors (10066708).

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

8226980 is a wasteful number, since it uses less digits than its factorization.

8226980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8226980 is about 2868.2712563494. The cubic root of 8226980 is about 201.8738878870.

The spelling of 8226980 in words is "eight million, two hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 24197 48394 96788 120985 241970 411349 483940 822698 1645396 2056745 4113490 8226980