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230098230000 = 24325417592549
BaseRepresentation
bin1101011001001011101…
…1000101101011110000
3210222220221102012002200
43112102323011223300
512232220121330000
6253412231343200
722424022453462
oct3262273055360
9728827365080
10230098230000
11896474a7951
1238717521b00
131890cb58222
14b1cb5ba132
155ebaa03500
hex3592ec5af0

230098230000 has 600 divisors, whose sum is σ = 866802222000. Its totient is φ = 56749056000.

The previous prime is 230098229981. The next prime is 230098230007. The reversal of 230098230000 is 32890032.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230098230007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90268726 + ... + 90271274.

It is an arithmetic number, because the mean of its divisors is an integer number (1444670370).

Almost surely, 2230098230000 is an apocalyptic number.

230098230000 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 230098230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433401111000).

230098230000 is an abundant number, since it is smaller than the sum of its proper divisors (636703992000).

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

230098230000 is a wasteful number, since it uses less digits than its factorization.

230098230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 230098230000 in words is "two hundred thirty billion, ninety-eight million, two hundred thirty thousand".