Search a number
-
+
203411220 = 223529116903
BaseRepresentation
bin11000001111111…
…00111100010100
3112011202100201220
430013330330110
5404033124340
632103450340
75016652425
oct1407747424
9464670656
10203411220
11a4902951
12581569b0
13331acb8c
141d02d64c
1512cceed0
hexc1fcf14

203411220 has 48 divisors (see below), whose sum is σ = 589196160. Its totient is φ = 52372096.

The previous prime is 203411213. The next prime is 203411261. The reversal of 203411220 is 22114302.

203411220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2034112202 = 82752248843776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203411220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56712 + ... + 60191.

It is an arithmetic number, because the mean of its divisors is an integer number (12274920).

Almost surely, 2203411220 is an apocalyptic number.

203411220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203411220 is an abundant number, since it is smaller than the sum of its proper divisors (385784940).

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

203411220 is a wasteful number, since it uses less digits than its factorization.

203411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116944 (or 116942 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 203411220 is about 14262.2305408376. The cubic root of 203411220 is about 588.1096445077.

Adding to 203411220 its reverse (22114302), we get a palindrome (225525522).

The spelling of 203411220 in words is "two hundred three million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 116903 233806 350709 467612 584515 701418 1169030 1402836 1753545 2338060 3390187 3507090 6780374 7014180 10170561 13560748 16950935 20341122 33901870 40682244 50852805 67803740 101705610 203411220