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82215468 = 223217134339
BaseRepresentation
bin1001110011010…
…00001000101100
312201200222102100
410321220020230
5132021343333
612054055100
72015551146
oct471501054
9181628370
1082215468
1142454775
122364a490
131405790a
14acc1c96
157340213
hex4e6822c

82215468 has 36 divisors (see below), whose sum is σ = 220048920. Its totient is φ = 25792896.

The previous prime is 82215467. The next prime is 82215473. The reversal of 82215468 is 86451228.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82215461) 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 11 ways as a sum of consecutive naturals, for example, 66558 + ... + 67781.

It is an arithmetic number, because the mean of its divisors is an integer number (6112470).

Almost surely, 282215468 is an apocalyptic number.

It is an amenable number.

82215468 is an abundant number, since it is smaller than the sum of its proper divisors (137833452).

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

82215468 is a wasteful number, since it uses less digits than its factorization.

82215468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134366 (or 134361 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 82215468 is about 9067.2745629544. The cubic root of 82215468 is about 434.8283428929.

It can be divided in two parts, 8221 and 5468, that added together give a square (13689 = 1172).

The spelling of 82215468 in words is "eighty-two million, two hundred fifteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 134339 268678 403017 537356 806034 1209051 1612068 2283763 2418102 4567526 4836204 6851289 9135052 13702578 20553867 27405156 41107734 82215468