Search a number
-
+
82114224 = 2438320611
BaseRepresentation
bin1001110010011…
…11011010110000
312201111211112120
410321033122300
5132010123344
612051554240
72014650033
oct471173260
9181454476
1082114224
11423956a5
12235bb980
13140207ca
14ac9701a
157320219
hex4e4f6b0

82114224 has 40 divisors (see below), whose sum is σ = 214694592. Its totient is φ = 27040320.

The previous prime is 82114223. The next prime is 82114231. The reversal of 82114224 is 42241128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82114194 and 82114203.

It is not an unprimeable number, because it can be changed into a prime (82114223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6322 + ... + 14289.

Almost surely, 282114224 is an apocalyptic number.

It is an amenable number.

82114224 is an abundant number, since it is smaller than the sum of its proper divisors (132580368).

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

82114224 is a wasteful number, since it uses less digits than its factorization.

82114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20705 (or 20699 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 82114224 is about 9061.6899086208. The cubic root of 82114224 is about 434.6497802081.

The spelling of 82114224 in words is "eighty-two million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 20611 41222 61833 82444 123666 164888 247332 329776 494664 989328 1710713 3421426 5132139 6842852 10264278 13685704 20528556 27371408 41057112 82114224