Search a number
-
+
82300221 = 3259154991
BaseRepresentation
bin1001110011111…
…00110100111101
312201212021200100
410321330310331
5132032101341
612055551313
72016353223
oct471746475
9181767610
1082300221
1142502413
122368b539
1314087373
14ad04b13
15735a3b6
hex4e7cd3d

82300221 has 12 divisors (see below), whose sum is σ = 120893760. Its totient is φ = 53936520.

The previous prime is 82300219. The next prime is 82300249. The reversal of 82300221 is 12200328.

It is a happy number.

It is not a de Polignac number, because 82300221 - 21 = 82300219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82300194 and 82300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76965 + ... + 78026.

It is an arithmetic number, because the mean of its divisors is an integer number (10074480).

Almost surely, 282300221 is an apocalyptic number.

It is an amenable number.

82300221 is a deficient number, since it is larger than the sum of its proper divisors (38593539).

82300221 is a wasteful number, since it uses less digits than its factorization.

82300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155056 (or 155053 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82300221 is about 9071.9469244479. The cubic root of 82300221 is about 434.9777079341.

Adding to 82300221 its reverse (12200328), we get a palindrome (94500549).

The spelling of 82300221 in words is "eighty-two million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 59 177 531 154991 464973 1394919 9144469 27433407 82300221