Search a number
-
+
82228192 = 254754673
BaseRepresentation
bin1001110011010…
…11001111100000
312201201121212121
410321223033200
5132022300232
612054234024
72015633224
oct471531740
9181647777
1082228192
1142463292
1223655914
1314060647
14acc6784
157343d97
hex4e6b3e0

82228192 has 24 divisors (see below), whose sum is σ = 165334176. Its totient is φ = 40238592.

The previous prime is 82228163. The next prime is 82228199. The reversal of 82228192 is 29182228.

It is a happy number.

It is a super-2 number, since 2×822281922 = 13522951119177728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82228199) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25833 + ... + 28840.

It is an arithmetic number, because the mean of its divisors is an integer number (6888924).

Almost surely, 282228192 is an apocalyptic number.

It is an amenable number.

82228192 is an abundant number, since it is smaller than the sum of its proper divisors (83105984).

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

82228192 is a wasteful number, since it uses less digits than its factorization.

82228192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54730 (or 54722 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 82228192 is about 9067.9761799422. The cubic root of 82228192 is about 434.8507736697.

The spelling of 82228192 in words is "eighty-two million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 54673 109346 218692 437384 874768 1749536 2569631 5139262 10278524 20557048 41114096 82228192