Search a number
-
+
2414423300 = 2252179111559
BaseRepresentation
bin1000111111101001…
…0010110100000100
320020021011102010012
42033322102310010
514421043021200
61035325245352
7113555154662
oct21772226404
96207142105
102414423300
111029973a63
12574703858
132c6298953
1418c935c32
15e1e74a35
hex8fe92d04

2414423300 has 72 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 907379200.

The previous prime is 2414423299. The next prime is 2414423303. The reversal of 2414423300 is 33244142.

It is not an unprimeable number, because it can be changed into a prime (2414423303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547921 + ... + 1549479.

It is an arithmetic number, because the mean of its divisors is an integer number (77182560).

Almost surely, 22414423300 is an apocalyptic number.

2414423300 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 2414423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

2414423300 is an abundant number, since it is smaller than the sum of its proper divisors (3142721020).

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

2414423300 is a wasteful number, since it uses less digits than its factorization.

2414423300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2414423300 is about 49136.7815388839. The cubic root of 2414423300 is about 1341.5426097418.

Adding to 2414423300 its reverse (33244142), we get a palindrome (2447667442).

The spelling of 2414423300 in words is "two billion, four hundred fourteen million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 911 1559 1700 1822 3118 3644 4555 6236 7795 9110 15487 15590 18220 22775 26503 30974 31180 38975 45550 53006 61948 77435 77950 91100 106012 132515 154870 155900 265030 309740 387175 530060 662575 774350 1325150 1420249 1548700 2650300 2840498 5680996 7101245 14202490 24144233 28404980 35506225 48288466 71012450 96576932 120721165 142024900 241442330 482884660 603605825 1207211650 2414423300