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2204314400 = 25522755393
BaseRepresentation
bin1000001101100011…
…0010101100100000
312200121210202220002
42003120302230200
514003301030100
61002422035132
7105424235411
oct20330625440
95617722802
102204314400
11a31307042
12516278aa8
132918b2362
1416ca81808
15cd7c02d5
hex83632b20

2204314400 has 36 divisors (see below), whose sum is σ = 5381284482. Its totient is φ = 881725440.

The previous prime is 2204314369. The next prime is 2204314417. The reversal of 2204314400 is 44134022.

It can be written as a sum of positive squares in 3 ways, for example, as 1661051536 + 543262864 = 40756^2 + 23308^2 .

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

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, 1376897 + ... + 1378496.

Almost surely, 22204314400 is an apocalyptic number.

2204314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204314400 is an abundant number, since it is smaller than the sum of its proper divisors (3176970082).

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

2204314400 is a wasteful number, since it uses less digits than its factorization.

2204314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755413 (or 2755400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2204314400 is about 46950.1267303934. The cubic root of 2204314400 is about 1301.4410843753.

Adding to 2204314400 its reverse (44134022), we get a palindrome (2248448422).

The spelling of 2204314400 in words is "two billion, two hundred four million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2755393 5510786 11021572 13776965 22043144 27553930 44086288 55107860 68884825 88172576 110215720 137769650 220431440 275539300 440862880 551078600 1102157200 2204314400