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20202112 = 27723221
BaseRepresentation
bin100110100010…
…0001010000000
31102000101002101
41031010022000
520132431422
62001000144
7333500200
oct115041200
942011071
1020202112
1110449167
126923054
134254418
14297c400
151b90c27
hex1344280

20202112 has 48 divisors (see below), whose sum is σ = 46831770. Its totient is φ = 8655360.

The previous prime is 20202107. The next prime is 20202113. The reversal of 20202112 is 21120202.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 5271616 = 3864^2 + 2296^2 .

It is not an unprimeable number, because it can be changed into a prime (20202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4662 + ... + 7882.

Almost surely, 220202112 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 20202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23415885).

20202112 is an abundant number, since it is smaller than the sum of its proper divisors (26629658).

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

20202112 is an equidigital number, since it uses as much as digits as its factorization.

20202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20202112 is about 4494.6759616239. The cubic root of 20202112 is about 272.3530594039.

Adding to 20202112 its reverse (21120202), we get a palindrome (41322314).

The spelling of 20202112 in words is "twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 3221 6272 6442 12884 22547 25768 45094 51536 90188 103072 157829 180376 206144 315658 360752 412288 631316 721504 1262632 1443008 2525264 2886016 5050528 10101056 20202112