Search a number
-
+
3112422300 = 22335213219359
BaseRepresentation
bin1011100110000011…
…1100101110011100
322000220120102202000
42321200330232130
522333240003200
61232502002300
7140062103331
oct27140745634
98026512660
103112422300
111357976a39
1272a416390
133a7a87300
1421750c988
1513339e300
hexb983cb9c

3112422300 has 432 divisors, whose sum is σ = 11436768000. Its totient is φ = 723790080.

The previous prime is 3112422283. The next prime is 3112422311. The reversal of 3112422300 is 32242113.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 8669521 + ... + 8669879.

It is an arithmetic number, because the mean of its divisors is an integer number (26474000).

Almost surely, 23112422300 is an apocalyptic number.

3112422300 is a gapful number since it is divisible by the number (30) 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 3112422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384000).

3112422300 is an abundant number, since it is smaller than the sum of its proper divisors (8324345700).

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

3112422300 is a wasteful number, since it uses less digits than its factorization.

3112422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

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

The square root of 3112422300 is about 55789.0876426564. The cubic root of 3112422300 is about 1460.0447693784.

Adding to 3112422300 its reverse (32242113), we get a palindrome (3144664413).

The spelling of 3112422300 in words is "three billion, one hundred twelve million, four hundred twenty-two thousand, three hundred".