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20636226 = 23213293041
BaseRepresentation
bin100111010111…
…0001001000010
31102211102120200
41032232021002
520240324401
62014150030
7340255632
oct116561102
942742520
1020636226
1110715336
126ab2316
134376bb0
142a526c2
151c29686
hex13ae242

20636226 has 48 divisors (see below), whose sum is σ = 49827960. Its totient is φ = 6128640.

The previous prime is 20636191. The next prime is 20636227. The reversal of 20636226 is 62263602.

It is a happy number.

20636226 is a `hidden beast` number, since 2 + 0 + 636 + 2 + 26 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19316025 + 1320201 = 4395^2 + 1149^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20636226.

It is not an unprimeable number, because it can be changed into a prime (20636227) 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 23 ways as a sum of consecutive naturals, for example, 5266 + ... + 8306.

Almost surely, 220636226 is an apocalyptic number.

20636226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20636226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913980).

20636226 is an abundant number, since it is smaller than the sum of its proper divisors (29191734).

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

20636226 is a wasteful number, since it uses less digits than its factorization.

20636226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20636226 is about 4542.7113049367. The cubic root of 20636226 is about 274.2900741029.

Adding to 20636226 its reverse (62263602), we get a palindrome (82899828).

The spelling of 20636226 in words is "twenty million, six hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3041 3393 6082 6786 9123 18246 27369 39533 54738 79066 88189 118599 176378 237198 264567 355797 529134 711594 793701 1146457 1587402 2292914 3439371 6878742 10318113 20636226