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20202 = 2371337
BaseRepresentation
bin100111011101010
31000201020
410323222
51121302
6233310
7112620
oct47352
930636
1020202
11141a6
12b836
139270
147510
155ebc
hex4eea

20202 has 32 divisors (see below), whose sum is σ = 51072. Its totient is φ = 5184.

The previous prime is 20201. The next prime is 20219.

20202 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

20202 is an undulating number in base 10.

20202 is a modest number, since divided by 202 gives 2 as remainder.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (20201) 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, 528 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

220202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536).

20202 is an abundant number, since it is smaller than the sum of its proper divisors (30870).

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

20202 is a wasteful number, since it uses less digits than its factorization.

20202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62.

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 20202 is about 142.1337398368. The cubic root of 20202 is about 27.2352556097.

It can be divided in two parts, 20 and 202, that added together give a palindrome (222).

The spelling of 20202 in words is "twenty thousand, two hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 20202