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82229620 = 225111392689
BaseRepresentation
bin1001110011010…
…11100101110100
312201201200211111
410321223211310
5132022321440
612054244404
72015640334
oct471534564
9181650744
1082229620
1142464370
1223656704
13140611a5
14acc70c4
1573444ea
hex4e6b974

82229620 has 48 divisors (see below), whose sum is σ = 189806400. Its totient is φ = 29675520.

The previous prime is 82229611. The next prime is 82229627. The reversal of 82229620 is 2692228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82229627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29236 + ... + 31924.

It is an arithmetic number, because the mean of its divisors is an integer number (3954300).

Almost surely, 282229620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82229620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94903200).

82229620 is an abundant number, since it is smaller than the sum of its proper divisors (107576780).

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

82229620 is a wasteful number, since it uses less digits than its factorization.

82229620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 82229620 is about 9068.0549182281. The cubic root of 82229620 is about 434.8532909057.

The spelling of 82229620 in words is "eighty-two million, two hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 556 695 1390 1529 2689 2780 3058 5378 6116 7645 10756 13445 15290 26890 29579 30580 53780 59158 118316 147895 295790 373771 591580 747542 1495084 1868855 3737710 4111481 7475420 8222962 16445924 20557405 41114810 82229620