Search a number
-
+
2245005200 = 24525612513
BaseRepresentation
bin1000010111010000…
…0000111110010000
312210110101002011202
42011310000332100
514044210131300
61010434130332
7106430141444
oct20564007620
95713332152
102245005200
11a522796a9
12527a209a8
1329a15b459
14174234824
15d215bad5
hex85d00f90

2245005200 has 30 divisors (see below), whose sum is σ = 5393625954. Its totient is φ = 898001920.

The previous prime is 2245005187. The next prime is 2245005209. The reversal of 2245005200 is 25005422.

It can be written as a sum of positive squares in 3 ways, for example, as 82011136 + 2162994064 = 9056^2 + 46508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2245005209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2805857 + ... + 2806656.

Almost surely, 22245005200 is an apocalyptic number.

2245005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245005200 is an abundant number, since it is smaller than the sum of its proper divisors (3148620754).

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

2245005200 is a wasteful number, since it uses less digits than its factorization.

2245005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612531 (or 5612520 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2245005200 is about 47381.4858357144. The cubic root of 2245005200 is about 1309.4003432267.

The spelling of 2245005200 in words is "two billion, two hundred forty-five million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5612513 11225026 22450052 28062565 44900104 56125130 89800208 112250260 140312825 224500520 280625650 449001040 561251300 1122502600 2245005200