Search a number
-
+
2210113332 = 2232723259281
BaseRepresentation
bin1000001110111011…
…1010011100110100
312201000201101112100
42003232322130310
514011242111312
61003150222100
7105524440050
oct20356723464
95630641470
102210113332
11a34607949
125181b4930
13292b6298b
1416d750c60
15ce0685dc
hex83bba734

2210113332 has 216 divisors, whose sum is σ = 6811721280. Its totient is φ = 591655680.

The previous prime is 2210113327. The next prime is 2210113337. The reversal of 2210113332 is 2333110122.

2210113332 is a `hidden beast` number, since 221 + 0 + 113 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (2210113327) and next prime (2210113337).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210113337) 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 71 ways as a sum of consecutive naturals, for example, 7865032 + ... + 7865312.

Almost surely, 22210113332 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 2210113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405860640).

2210113332 is an abundant number, since it is smaller than the sum of its proper divisors (4601607948).

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

2210113332 is a wasteful number, since it uses less digits than its factorization.

2210113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2210113332 is about 47011.8424654895. The cubic root of 2210113332 is about 1302.5813270469.

Adding to 2210113332 its reverse (2333110122), we get a palindrome (4543223454).

The spelling of 2210113332 in words is "two billion, two hundred ten million, one hundred thirteen thousand, three hundred thirty-two".