Search a number
-
+
20244100 = 2252202441
BaseRepresentation
bin100110100111…
…0011010000100
31102002111200111
41031032122010
520140302400
62001522404
7334033462
oct115163204
942074614
1020244100
1110477768
126943404
13426a576
14298d832
151b9d3ba
hex134e684

20244100 has 18 divisors (see below), whose sum is σ = 43929914. Its totient is φ = 8097600.

The previous prime is 20244089. The next prime is 20244109. The reversal of 20244100 is 144202.

It can be written as a sum of positive squares in 3 ways, for example, as 743044 + 19501056 = 862^2 + 4416^2 .

It is not an unprimeable number, because it can be changed into a prime (20244109) 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 5 ways as a sum of consecutive naturals, for example, 101121 + ... + 101320.

Almost surely, 220244100 is an apocalyptic number.

20244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20244100 is an abundant number, since it is smaller than the sum of its proper divisors (23685814).

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

20244100 is a wasteful number, since it uses less digits than its factorization.

20244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202455 (or 202448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 20244100 is about 4499.3443966871. The cubic root of 20244100 is about 272.5416147202.

Adding to 20244100 its reverse (144202), we get a palindrome (20388302).

The spelling of 20244100 in words is "twenty million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 202441 404882 809764 1012205 2024410 4048820 5061025 10122050 20244100