Search a number
-
+
2203398288 = 2434721317157
BaseRepresentation
bin1000001101010101…
…0011000010010000
312200120002020020000
42003111103002100
514003032221123
61002350250000
7105413401500
oct20325230220
95616066200
102203398288
11a30840823
12515ab6900
13291651390
1416c8c3a00
15cd68db43
hex83553090

2203398288 has 600 divisors, whose sum is σ = 8512939512. Its totient is φ = 543449088.

The previous prime is 2203398287. The next prime is 2203398313. The reversal of 2203398288 is 8828933022.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 2080454544 = 11088^2 + 45612^2 .

It is a super-2 number, since 2×22033982882 = 9709928031122661888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203398287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14034306 + ... + 14034462.

Almost surely, 22203398288 is an apocalyptic number.

2203398288 is a gapful number since it is divisible by the number (28) 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 2203398288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256469756).

2203398288 is an abundant number, since it is smaller than the sum of its proper divisors (6309541224).

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

2203398288 is a wasteful number, since it uses less digits than its factorization.

2203398288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2203398288 is about 46940.3694915155. The cubic root of 2203398288 is about 1301.2607666310.

The spelling of 2203398288 in words is "two billion, two hundred three million, three hundred ninety-eight thousand, two hundred eighty-eight".