Search a number
-
+
2400011220 = 2235192105273
BaseRepresentation
bin1000111100001101…
…0100001111010100
320012021001012110110
42033003110033110
514403400324340
61034052323020
7113321521155
oct21703241724
96167035413
102400011220
11102181aa52
1256b913470
132c32c0aa9
1418aa6392c
15e0a79680
hex8f0d43d4

2400011220 has 48 divisors (see below), whose sum is σ = 7073720640. Its totient is φ = 606318336.

The previous prime is 2400011209. The next prime is 2400011233. The reversal of 2400011220 is 221100042.

It is a super-2 number, since 2×24000112202 = 11520107712251776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2400011196 and 2400011205.

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, 1051497 + ... + 1053776.

It is an arithmetic number, because the mean of its divisors is an integer number (147369180).

Almost surely, 22400011220 is an apocalyptic number.

2400011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400011220 is an abundant number, since it is smaller than the sum of its proper divisors (4673709420).

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

2400011220 is a wasteful number, since it uses less digits than its factorization.

2400011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105304 (or 2105302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2400011220 is about 48989.9093691752. The cubic root of 2400011220 is about 1338.8679865604.

Adding to 2400011220 its reverse (221100042), we get a palindrome (2621111262).

The spelling of 2400011220 in words is "two billion, four hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2105273 4210546 6315819 8421092 10526365 12631638 21052730 25263276 31579095 40000187 42105460 63158190 80000374 120000561 126316380 160000748 200000935 240001122 400001870 480002244 600002805 800003740 1200005610 2400011220