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2205025668 = 223261250713
BaseRepresentation
bin1000001101101110…
…0000010110000100
312200200010220120100
42003123200112010
514003441310133
61002445204100
7105433260156
oct20333402604
95620126510
102205025668
11a3175246a
12516560630
13291aa1021
1416cbc8ad6
15cd8b0e13
hex836e0584

2205025668 has 18 divisors (see below), whose sum is σ = 5573814974. Its totient is φ = 735008544.

The previous prime is 2205025651. The next prime is 2205025673. The reversal of 2205025668 is 8665205022.

It can be written as a sum of positive squares in only one way, i.e., 2096907264 + 108118404 = 45792^2 + 10398^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 61250713 = 2205025668 / (2 + 2 + 0 + 5 + 0 + 2 + 5 + 6 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30625321 + ... + 30625392.

Almost surely, 22205025668 is an apocalyptic number.

It is an amenable number.

2205025668 is an abundant number, since it is smaller than the sum of its proper divisors (3368789306).

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

2205025668 is a wasteful number, since it uses less digits than its factorization.

2205025668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61250723 (or 61250718 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2205025668 is about 46957.7008380947. The cubic root of 2205025668 is about 1301.5810483557.

The spelling of 2205025668 in words is "two billion, two hundred five million, twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61250713 122501426 183752139 245002852 367504278 551256417 735008556 1102512834 2205025668