Search a number
-
+
20219836 = 2271324273
BaseRepresentation
bin100110100100…
…0011110111100
31102001021101211
41031020132330
520134013321
62001214204
7333602650
oct115103674
942037354
1020219836
111046050a
126931364
13425c500
142984a60
151b960e1
hex13487bc

20219836 has 36 divisors (see below), whose sum is σ = 43799952. Its totient is φ = 7997184.

The previous prime is 20219809. The next prime is 20219839. The reversal of 20219836 is 63891202.

It is a junction number, because it is equal to n+sod(n) for n = 20219798 and 20219807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20219839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596 + ... + 6868.

Almost surely, 220219836 is an apocalyptic number.

20219836 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20219836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899976).

20219836 is an abundant number, since it is smaller than the sum of its proper divisors (23580116).

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

20219836 is a wasteful number, since it uses less digits than its factorization.

20219836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20219836 is about 4496.6471954113. The cubic root of 20219836 is about 272.4326843235.

The spelling of 20219836 in words is "twenty million, two hundred nineteen thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4273 4732 8546 17092 29911 55549 59822 111098 119644 222196 388843 722137 777686 1444274 1555372 2888548 5054959 10109918 20219836