Search a number
-
+
133220000 = 25546661
BaseRepresentation
bin1111111000011…
…00011010100000
3100021200021111002
413330030122200
5233101020000
621115211132
73205231334
oct774143240
9307607432
10133220000
1169221181
1238746aa8
13217a5304
141399b7c4
15ba678d5
hex7f0c6a0

133220000 has 60 divisors (see below), whose sum is σ = 327790386. Its totient is φ = 53280000.

The previous prime is 133219993. The next prime is 133220011. The reversal of 133220000 is 22331.

It can be written as a sum of positive squares in 5 ways, for example, as 18215824 + 115004176 = 4268^2 + 10724^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16670 + ... + 23330.

Almost surely, 2133220000 is an apocalyptic number.

133220000 is a gapful number since it is divisible by the number (10) 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 133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163895193).

133220000 is an abundant number, since it is smaller than the sum of its proper divisors (194570386).

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

133220000 is an frugal number, since it uses more digits than its factorization.

133220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 133220000 is about 11542.0968632220. The cubic root of 133220000 is about 510.7281665607.

Adding to 133220000 its reverse (22331), we get a palindrome (133242331).

The spelling of 133220000 in words is "one hundred thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 6661 10000 13322 20000 26644 33305 53288 66610 106576 133220 166525 213152 266440 333050 532880 666100 832625 1065760 1332200 1665250 2664400 3330500 4163125 5328800 6661000 8326250 13322000 16652500 26644000 33305000 66610000 133220000