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230230332000 = 2532537980953
BaseRepresentation
bin1101011001101011001…
…1000001001001100000
3211000021010222122222100
43112122303001021200
512233002431111000
6253433311010400
722430215350504
oct3263263011140
9730233878870
10230230332000
1189705025059
1238753809a00
131893132b6a6
14b200d66304
155ec73e9a00
hex359acc1260

230230332000 has 288 divisors, whose sum is σ = 827440548480. Its totient is φ = 60616857600.

The previous prime is 230230331977. The next prime is 230230332001. The reversal of 230230332000 is 233032032.

230230332000 is a `hidden beast` number, since 2 + 302 + 30 + 332 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230230332001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803524 + ... + 2884476.

It is an arithmetic number, because the mean of its divisors is an integer number (2873057460).

Almost surely, 2230230332000 is an apocalyptic number.

230230332000 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 230230332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413720274240).

230230332000 is an abundant number, since it is smaller than the sum of its proper divisors (597210216480).

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

230230332000 is a wasteful number, since it uses less digits than its factorization.

230230332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81063 (or 81042 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230230332000 its reverse (233032032), we get a palindrome (230463364032).

The spelling of 230230332000 in words is "two hundred thirty billion, two hundred thirty million, three hundred thirty-two thousand".