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230220000 = 2532541279
BaseRepresentation
bin11011011100011…
…10000011100000
3121001012101110200
431232032003200
5432414020000
634502225200
75463560223
oct1556160340
9531171420
10230220000
11108a5376a
1265125200
133890846a
142280b5ba
1515328500
hexdb8e0e0

230220000 has 180 divisors, whose sum is σ = 818737920. Its totient is φ = 61344000.

The previous prime is 230219999. The next prime is 230220007. The reversal of 230220000 is 22032.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230220007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 179361 + ... + 180639.

It is an arithmetic number, because the mean of its divisors is an integer number (4548544).

Almost surely, 2230220000 is an apocalyptic number.

230220000 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 230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409368960).

230220000 is an abundant number, since it is smaller than the sum of its proper divisors (588517920).

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

230220000 is a wasteful number, since it uses less digits than its factorization.

230220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 230220000 is about 15173.0023396822. The cubic root of 230220000 is about 612.8878565234.

Adding to 230220000 its reverse (22032), we get a palindrome (230242032).

The spelling of 230220000 in words is "two hundred thirty million, two hundred twenty thousand".