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205112020 = 22585911939
BaseRepresentation
bin11000011100111…
…00001011010100
3112021221202210111
430032130023110
5410002041040
632204132404
75040265141
oct1416341324
9467852714
10205112020
11a5864773
1258837104
1333657079
141d3533c8
1513018dea
hexc39c2d4

205112020 has 24 divisors (see below), whose sum is σ = 431272800. Its totient is φ = 81942432.

The previous prime is 205112003. The next prime is 205112023. The reversal of 205112020 is 20211502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205112023) 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 7 ways as a sum of consecutive naturals, for example, 11211 + ... + 23149.

It is an arithmetic number, because the mean of its divisors is an integer number (17969700).

Almost surely, 2205112020 is an apocalyptic number.

205112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205112020 is an abundant number, since it is smaller than the sum of its proper divisors (226160780).

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

205112020 is a wasteful number, since it uses less digits than its factorization.

205112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 205112020 is about 14321.7324371041. The cubic root of 205112020 is about 589.7442346362.

Adding to 205112020 its reverse (20211502), we get a palindrome (225323522).

It can be divided in two parts, 205 and 112020, that added together give a square (112225 = 3352).

The spelling of 205112020 in words is "two hundred five million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 859 1718 3436 4295 8590 11939 17180 23878 47756 59695 119390 238780 10255601 20511202 41022404 51278005 102556010 205112020