Search a number
-
+
2243550000 = 2435514957
BaseRepresentation
bin1000010110111001…
…1101101100110000
312210100122011000110
42011232131230300
514043322100000
61010343021320
7106411601046
oct20556355460
95710564013
102243550000
11a5147535a
1252743a840
13299a6bca3
14173d76396
15d1e70850
hex85b9db30

2243550000 has 120 divisors (see below), whose sum is σ = 7244817552. Its totient is φ = 598240000.

The previous prime is 2243549969. The next prime is 2243550013. The reversal of 2243550000 is 553422.

2243550000 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 is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142522 + ... + 157478.

Almost surely, 22243550000 is an apocalyptic number.

2243550000 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 2243550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622408776).

2243550000 is an abundant number, since it is smaller than the sum of its proper divisors (5001267552).

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

2243550000 is an equidigital number, since it uses as much as digits as its factorization.

2243550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14993 (or 14967 counting only the distinct ones).

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

The square root of 2243550000 is about 47366.1271374386. The cubic root of 2243550000 is about 1309.1173667141.

The spelling of 2243550000 in words is "two billion, two hundred forty-three million, five hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 14957 15000 18750 25000 29914 30000 37500 44871 50000 59828 74785 75000 89742 119656 149570 150000 179484 224355 239312 299140 358968 373925 448710 598280 717936 747850 897420 1121775 1196560 1495700 1794840 1869625 2243550 2991400 3589680 3739250 4487100 5608875 5982800 7478500 8974200 9348125 11217750 14957000 17948400 18696250 22435500 28044375 29914000 37392500 44871000 46740625 56088750 74785000 89742000 93481250 112177500 140221875 149570000 186962500 224355000 280443750 373925000 448710000 560887500 747850000 1121775000 2243550000