Search a number
-
+
2245205868 = 2232913747093
BaseRepresentation
bin1000010111010011…
…0001111101101100
312210110202021102220
42011310301331230
514044233041433
61010442315340
7106431635463
oct20564617554
95713667386
102245205868
11a523a6444
12527ab8b50
1329a1cb8a9
141742879da
15d219b2b3
hex85d31f6c

2245205868 has 48 divisors (see below), whose sum is σ = 5459136480. Its totient is φ = 717305344.

The previous prime is 2245205867. The next prime is 2245205891. The reversal of 2245205868 is 8685025422.

It is not an unprimeable number, because it can be changed into a prime (2245205867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24130 + ... + 71222.

It is an arithmetic number, because the mean of its divisors is an integer number (113732010).

Almost surely, 22245205868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245205868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729568240).

2245205868 is an abundant number, since it is smaller than the sum of its proper divisors (3213930612).

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

2245205868 is a wasteful number, since it uses less digits than its factorization.

2245205868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47266 (or 47264 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 2245205868 is about 47383.6033665655. The cubic root of 2245205868 is about 1309.4393552996.

The spelling of 2245205868 in words is "two billion, two hundred forty-five million, two hundred five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 411 548 822 1644 3973 7946 11919 15892 23838 47093 47676 94186 141279 188372 282558 565116 1365697 2731394 4097091 5462788 6451741 8194182 12903482 16388364 19355223 25806964 38710446 77420892 187100489 374200978 561301467 748401956 1122602934 2245205868