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21680226 = 23229411013
BaseRepresentation
bin101001010110…
…1000001100010
31111210110200100
41102231001202
521022231401
62052403230
7352164441
oct122550142
944713610
1021680226
1111268747
127316516
134651149
142c44d58
151d83b86
hex14ad062

21680226 has 48 divisors (see below), whose sum is σ = 49827960. Its totient is φ = 6800640.

The previous prime is 21680203. The next prime is 21680227. The reversal of 21680226 is 62208612.

It can be written as a sum of positive squares in 4 ways, for example, as 5688225 + 15992001 = 2385^2 + 3999^2 .

It is a super-2 number, since 2×216802262 = 940064398822152, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21680226.

It is not an unprimeable number, because it can be changed into a prime (21680227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20896 + ... + 21908.

Almost surely, 221680226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21680226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913980).

21680226 is an abundant number, since it is smaller than the sum of its proper divisors (28147734).

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

21680226 is a wasteful number, since it uses less digits than its factorization.

21680226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21680226 is about 4656.2029594939. The cubic root of 21680226 is about 278.8396967134.

Adding to 21680226 its reverse (62208612), we get a palindrome (83888838).

The spelling of 21680226 in words is "twenty-one million, six hundred eighty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1013 1189 2026 2378 3039 3567 6078 7134 9117 10701 18234 21402 29377 41533 58754 83066 88131 124599 176262 249198 264393 373797 528786 747594 1204457 2408914 3613371 7226742 10840113 21680226