Search a number
-
+
2244423000 = 233531315711
BaseRepresentation
bin1000010111000111…
…0010110101011000
312210102021111112210
42011301302311120
514044033014000
61010413435120
7106422165201
oct20561626530
95712244483
102244423000
11a51a11246
1252779baa0
13299cb6461
141741225a8
15d2094350
hex85c72d58

2244423000 has 128 divisors (see below), whose sum is σ = 7057290240. Its totient is φ = 593840000.

The previous prime is 2244422993. The next prime is 2244423001. The reversal of 2244423000 is 3244422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244423001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390145 + ... + 395855.

It is an arithmetic number, because the mean of its divisors is an integer number (55135080).

Almost surely, 22244423000 is an apocalyptic number.

2244423000 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 2244423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

2244423000 is an abundant number, since it is smaller than the sum of its proper divisors (4812867240).

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

2244423000 is a wasteful number, since it uses less digits than its factorization.

2244423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2244423000 is about 47375.3416874222. The cubic root of 2244423000 is about 1309.2871439657.

Adding to 2244423000 its reverse (3244422), we get a palindrome (2247667422).

The spelling of 2244423000 in words is "two billion, two hundred forty-four million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 1000 1048 1310 1500 1572 1965 2620 3000 3144 3275 3930 5240 5711 6550 7860 9825 11422 13100 15720 16375 17133 19650 22844 26200 28555 32750 34266 39300 45688 49125 57110 65500 68532 78600 85665 98250 114220 131000 137064 142775 171330 196500 228440 285550 342660 393000 428325 571100 685320 713875 748141 856650 1142200 1427750 1496282 1713300 2141625 2244423 2855500 2992564 3426600 3740705 4283250 4488846 5711000 5985128 7481410 8566500 8977692 11222115 14962820 17133000 17955384 18703525 22444230 29925640 37407050 44888460 56110575 74814100 89776920 93517625 112221150 149628200 187035250 224442300 280552875 374070500 448884600 561105750 748141000 1122211500 2244423000