Search a number
-
+
33300000000 = 28325837
BaseRepresentation
bin11111000000110101…
…011010110100000000
310011221201211021100100
4133000311122310000
51021144300000000
623144154322400
72256130221051
oct370065326400
9104851737310
1033300000000
1113138a88963
126554129400
1331a8c77417
14187c824728
15ced6cba00
hex7c0d5ad00

33300000000 has 486 divisors, whose sum is σ = 123258725954. Its totient is φ = 8640000000.

The previous prime is 33299999989. The next prime is 33300000049. The reversal of 33300000000 is 333.

It can be written as a sum of positive squares in 9 ways, for example, as 18400379904 + 14899620096 = 135648^2 + 122064^2 .

It is a super-2 number, since 2×333000000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 899999982 + ... + 900000018.

Almost surely, 233300000000 is an apocalyptic number.

33300000000 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 33300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61629362977).

33300000000 is an abundant number, since it is smaller than the sum of its proper divisors (89958725954).

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

33300000000 is an frugal number, since it uses more digits than its factorization.

33300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

Adding to 33300000000 its reverse (333), we get a palindrome (33300000333).

Multiplying 33300000000 by its reverse (333), we get a square (11088900000000 = 33300002).

33300000000 divided by its reverse (333) gives a 8-th power (100000000 = 108).

The spelling of 33300000000 in words is "thirty-three billion, three hundred million", and thus it is an aban number.