Search a number
-
+
2445200000 = 27556113
BaseRepresentation
bin1001000110111110…
…1100101010000000
320022102002000210222
42101233230222000
520001432400000
61042345042212
7114410566655
oct22157545200
96272060728
102445200000
111045284a51
12582a86368
132cc783309
14192a67c2c
15e4a03a85
hex91beca80

2445200000 has 96 divisors (see below), whose sum is σ = 6089727420. Its totient is φ = 977920000.

The previous prime is 2445199993. The next prime is 2445200011. The reversal of 2445200000 is 25442.

It can be written as a sum of positive squares in 6 ways, for example, as 254211136 + 2190988864 = 15944^2 + 46808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396944 + ... + 403056.

Almost surely, 22445200000 is an apocalyptic number.

2445200000 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 2445200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044863710).

2445200000 is an abundant number, since it is smaller than the sum of its proper divisors (3644527420).

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

2445200000 is an frugal number, since it uses more digits than its factorization.

2445200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2445200000 is about 49448.9635887346. The cubic root of 2445200000 is about 1347.2187826383.

Adding to 2445200000 its reverse (25442), we get a palindrome (2445225442).

The spelling of 2445200000 in words is "two billion, four hundred forty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6113 6250 8000 10000 12226 12500 16000 20000 24452 25000 30565 40000 48904 50000 61130 80000 97808 100000 122260 152825 195616 200000 244520 305650 391232 400000 489040 611300 764125 782464 978080 1222600 1528250 1956160 2445200 3056500 3820625 3912320 4890400 6113000 7641250 9780800 12226000 15282500 19103125 19561600 24452000 30565000 38206250 48904000 61130000 76412500 97808000 122260000 152825000 244520000 305650000 489040000 611300000 1222600000 2445200000