Search a number
-
+
233220000 = 2535413223
BaseRepresentation
bin11011110011010…
…10011110100000
3121020211210200210
431321222132200
5434201020000
635050414120
75531223456
oct1571523640
9536753623
10233220000
1110a712702
1266131340
1339418b00
1422d8c9d6
151571c350
hexde6a7a0

233220000 has 360 divisors, whose sum is σ = 864398304. Its totient is φ = 54912000.

The previous prime is 233219999. The next prime is 233220049. The reversal of 233220000 is 22332.

233220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10139989 + ... + 10140011.

Almost surely, 2233220000 is an apocalyptic number.

233220000 is a gapful number since it is divisible by the number (20) 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 233220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432199152).

233220000 is an abundant number, since it is smaller than the sum of its proper divisors (631178304).

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

233220000 is a wasteful number, since it uses less digits than its factorization.

233220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233220000 is about 15271.5421618119. The cubic root of 233220000 is about 615.5385592428.

Adding to 233220000 its reverse (22332), we get a palindrome (233242332).

The spelling of 233220000 in words is "two hundred thirty-three million, two hundred twenty thousand".