Search a number
-
+
990226000200 = 2335231107497551
BaseRepresentation
bin11100110100011100001…
…00011010100101001000
310111122221112220210100110
432122032010122211020
5112210440324001300
62034523055434320
7131353503060543
oct16321604324510
93448845823313
10990226000200
11351a52842208
1213bab48259a0
13724bb369bc8
1435cda31385a
151ab5864b550
hexe68e11a948

990226000200 has 192 divisors, whose sum is σ = 3198343864320. Its totient is φ = 253153440000.

The previous prime is 990226000193. The next prime is 990226000207. The reversal of 990226000200 is 2000622099.

It is a Cunningham number, because it is equal to 9951012-1.

It is an interprime number because it is at equal distance from previous prime (990226000193) and next prime (990226000207).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (990226000207) 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 47 ways as a sum of consecutive naturals, for example, 1741425 + ... + 2238975.

It is an arithmetic number, because the mean of its divisors is an integer number (16658040960).

Almost surely, 2990226000200 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 990226000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599171932160).

990226000200 is an abundant number, since it is smaller than the sum of its proper divisors (2208117864120).

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

990226000200 is a wasteful number, since it uses less digits than its factorization.

990226000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497708 (or 497699 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 990226000200 its reverse (2000622099), we get a palindrome (992226622299).

The spelling of 990226000200 in words is "nine hundred ninety billion, two hundred twenty-six million, two hundred", and thus it is an aban number.