Search a number
-
+
2245102200 = 23325211149761
BaseRepresentation
bin1000010111010001…
…1000101001111000
312210110120000020100
42011310120221320
514044221232300
61010440155400
7106431024315
oct20564305170
95713500210
102245102200
11a52335570
12527a68b60
1329a193653
1417425bd0c
15d217a700
hex85d18a78

2245102200 has 288 divisors, whose sum is σ = 8291322000. Its totient is φ = 539904000.

The previous prime is 2245102199. The next prime is 2245102213. The reversal of 2245102200 is 22015422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2949820 + ... + 2950580.

Almost surely, 22245102200 is an apocalyptic number.

2245102200 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 2245102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145661000).

2245102200 is an abundant number, since it is smaller than the sum of its proper divisors (6046219800).

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

2245102200 is a wasteful number, since it uses less digits than its factorization.

2245102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2245102200 is about 47382.5094312237. The cubic root of 2245102200 is about 1309.4192013870.

Adding to 2245102200 its reverse (22015422), we get a palindrome (2267117622).

The spelling of 2245102200 in words is "two billion, two hundred forty-five million, one hundred two thousand, two hundred".