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2243505000 = 233541113597
BaseRepresentation
bin1000010110111001…
…0010101101101000
312210100112212021210
42011232102231220
514043314130000
61010342033120
7106411322622
oct20556225550
95710485253
102243505000
11a51444570
125274187a0
13299a54669
14173d63c12
15d1e62350
hex85b92b68

2243505000 has 160 divisors (see below), whose sum is σ = 7646427360. Its totient is φ = 543840000.

The previous prime is 2243504987. The next prime is 2243505049. The reversal of 2243505000 is 5053422.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158202 + ... + 171798.

It is an arithmetic number, because the mean of its divisors is an integer number (47790171).

Almost surely, 22243505000 is an apocalyptic number.

2243505000 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 2243505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823213680).

2243505000 is an abundant number, since it is smaller than the sum of its proper divisors (5402922360).

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

2243505000 is a wasteful number, since it uses less digits than its factorization.

2243505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13637 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2243505000 is about 47365.6521120527. The cubic root of 2243505000 is about 1309.1086141159.

Adding to 2243505000 its reverse (5053422), we get a palindrome (2248558422).

The spelling of 2243505000 in words is "two billion, two hundred forty-three million, five hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3300 3750 4125 5000 5500 6600 6875 7500 8250 11000 13597 13750 15000 16500 20625 27194 27500 33000 40791 41250 54388 55000 67985 81582 82500 108776 135970 149567 163164 165000 203955 271940 299134 326328 339925 407910 448701 543880 598268 679850 747835 815820 897402 1019775 1196536 1359700 1495670 1631640 1699625 1794804 2039550 2243505 2719400 2991340 3399250 3589608 3739175 4079100 4487010 5098875 5982680 6798500 7478350 8158200 8498125 8974020 10197750 11217525 13597000 14956700 16996250 17948040 18695875 20395500 22435050 25494375 29913400 33992500 37391750 40791000 44870100 50988750 56087625 67985000 74783500 89740200 93479375 101977500 112175250 149567000 186958750 203955000 224350500 280438125 373917500 448701000 560876250 747835000 1121752500 2243505000