Search a number
-
+
21982812 = 22329181349
BaseRepresentation
bin101001111011…
…0111001011100
31112100211202020
41103312321130
521111422222
62103100140
7354564555
oct123667134
945324666
1021982812
1111455015
127441650
134728aa7
142cc332c
151de365c
hex14f6e5c

21982812 has 48 divisors (see below), whose sum is σ = 53508000. Its totient is φ = 7015680.

The previous prime is 21982801. The next prime is 21982817. The reversal of 21982812 is 21828912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21982817) 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, 62814 + ... + 63162.

It is an arithmetic number, because the mean of its divisors is an integer number (1114750).

Almost surely, 221982812 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 21982812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26754000).

21982812 is an abundant number, since it is smaller than the sum of its proper divisors (31525188).

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

21982812 is a wasteful number, since it uses less digits than its factorization.

21982812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 21982812 is about 4688.5831548561. The cubic root of 21982812 is about 280.1309421566.

The spelling of 21982812 in words is "twenty-one million, nine hundred eighty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 348 349 362 543 698 724 1047 1086 1396 2094 2172 4188 5249 10121 10498 15747 20242 20996 30363 31494 40484 60726 62988 63169 121452 126338 189507 252676 379014 758028 1831901 3663802 5495703 7327604 10991406 21982812