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2204311320 = 23355241941
BaseRepresentation
bin1000001101100011…
…0001111100011000
312200121210121200000
42003120301330120
514003300430240
61002422013000
7105424223421
oct20330617430
95617717600
102204311320
11a313047a2
12516277160
132918b0b33
1416ca80648
15cd7be430
hex83631f18

2204311320 has 192 divisors, whose sum is σ = 7468100640. Its totient is φ = 584755200.

The previous prime is 2204311313. The next prime is 2204311321. The reversal of 2204311320 is 231134022.

2204311320 is a `hidden beast` number, since 220 + 431 + 13 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2204311293 and 2204311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204311321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342050 + ... + 2342990.

Almost surely, 22204311320 is an apocalyptic number.

2204311320 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 2204311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734050320).

2204311320 is an abundant number, since it is smaller than the sum of its proper divisors (5263789320).

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

2204311320 is a wasteful number, since it uses less digits than its factorization.

2204311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2204311320 is about 46950.0939296185. The cubic root of 2204311320 is about 1301.4404782246.

Adding to 2204311320 its reverse (231134022), we get a palindrome (2435445342).

The spelling of 2204311320 in words is "two billion, two hundred four million, three hundred eleven thousand, three hundred twenty".