Search a number
-
+
20312200 = 2352101561
BaseRepresentation
bin100110101111…
…1000010001000
31102012222002201
41031133002020
520144442300
62003205544
7334436146
oct115370210
942188081
1020312200
1110513947
1269768b4
13429256c
1429aa596
151bb366a
hex135f088

20312200 has 24 divisors (see below), whose sum is σ = 47226330. Its totient is φ = 8124800.

The previous prime is 20312191. The next prime is 20312213. The reversal of 20312200 is 221302.

It can be written as a sum of positive squares in 3 ways, for example, as 9036036 + 11276164 = 3006^2 + 3358^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 50581 + ... + 50980.

Almost surely, 220312200 is an apocalyptic number.

20312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312200 is an abundant number, since it is smaller than the sum of its proper divisors (26914130).

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

20312200 is a wasteful number, since it uses less digits than its factorization.

20312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101577 (or 101568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20312200 is about 4506.9058121953. The cubic root of 20312200 is about 272.8468775059.

Adding to 20312200 its reverse (221302), we get a palindrome (20533502).

It can be divided in two parts, 203 and 12200, that added together give a triangular number (12403 = T157).

The spelling of 20312200 in words is "twenty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 101561 203122 406244 507805 812488 1015610 2031220 2539025 4062440 5078050 10156100 20312200