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2040303220 = 2251919926981
BaseRepresentation
bin111100110011100…
…1000111001110100
312021012012010211221
41321213020321310
513134304200340
6534242440124
7101363201614
oct17147107164
95235163757
102040303220
1195777500a
1248b363044
13266918c17
14154d8aa44
15be1c444a
hex799c8e74

2040303220 has 48 divisors (see below), whose sum is σ = 4532976000. Its totient is φ = 769253760.

The previous prime is 2040303203. The next prime is 2040303269. The reversal of 2040303220 is 223030402.

It is a junction number, because it is equal to n+sod(n) for n = 2040303194 and 2040303203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62130 + ... + 89110.

It is an arithmetic number, because the mean of its divisors is an integer number (94437000).

Almost surely, 22040303220 is an apocalyptic number.

2040303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266488000).

2040303220 is an abundant number, since it is smaller than the sum of its proper divisors (2492672780).

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

2040303220 is a wasteful number, since it uses less digits than its factorization.

2040303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27208 (or 27206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2040303220 is about 45169.7157396413. The cubic root of 2040303220 is about 1268.3279751136.

Adding to 2040303220 its reverse (223030402), we get a palindrome (2263333622).

The spelling of 2040303220 in words is "two billion, forty million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 199 380 398 796 995 1990 3781 3980 7562 15124 18905 26981 37810 53962 75620 107924 134905 269810 512639 539620 1025278 2050556 2563195 5126390 5369219 10252780 10738438 21476876 26846095 53692190 102015161 107384380 204030322 408060644 510075805 1020151610 2040303220