Search a number
-
+
2243926800 = 24345269257
BaseRepresentation
bin1000010110111111…
…1001101100010000
312210101100021220000
42011233321230100
514043421124200
61010355050000
7106415030433
oct20557715420
95711307800
102243926800
11a51702465
125275a0900
13299b7164b
1417403381a
15d1ee7300
hex85bf9b10

2243926800 has 150 divisors (see below), whose sum is σ = 8053389498. Its totient is φ = 598371840.

The previous prime is 2243926787. The next prime is 2243926831. The reversal of 2243926800 is 86293422.

2243926800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 355850496 + 1888076304 = 18864^2 + 43452^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2229 + ... + 67028.

Almost surely, 22243926800 is an apocalyptic number.

2243926800 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 2243926800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026694749).

2243926800 is an abundant number, since it is smaller than the sum of its proper divisors (5809462698).

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

2243926800 is a wasteful number, since it uses less digits than its factorization.

2243926800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69287 (or 69267 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2243926800 is about 47370.1044964015. The cubic root of 2243926800 is about 1309.1906505443.

The spelling of 2243926800 in words is "two billion, two hundred forty-three million, nine hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3600 4050 5400 6480 8100 10800 16200 32400 69257 138514 207771 277028 346285 415542 554056 623313 692570 831084 1038855 1108112 1246626 1385140 1662168 1731425 1869939 2077710 2493252 2770280 3116565 3324336 3462850 3739878 4155420 4986504 5194275 5540560 5609817 6233130 6925700 7479756 8310840 9349695 9973008 10388550 11219634 12466260 13851400 14959512 15582825 16621680 18699390 20777100 22439268 24932520 27702800 28049085 29919024 31165650 37398780 41554200 44878536 46748475 49865040 56098170 62331300 74797560 83108400 89757072 93496950 112196340 124662600 140245425 149595120 186993900 224392680 249325200 280490850 373987800 448785360 560981700 747975600 1121963400 2243926800