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230698108800 = 2734522947653
BaseRepresentation
bin1101011011011010101…
…1011100011110000000
3211001110202012012010000
43112312223130132000
512234432203440200
6253551541040000
722444625366325
oct3266653343600
9731422165100
10230698108800
1189925082755
12388643b6000
13189a72108b3
14b247130b4c
1560034ea300
hex35b6adc780

230698108800 has 960 divisors, whose sum is σ = 900798148800. Its totient is φ = 58045317120.

The previous prime is 230698108793. The next prime is 230698108801. The reversal of 230698108800 is 8801896032.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230698108801) 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, 353289274 + ... + 353289926.

It is an arithmetic number, because the mean of its divisors is an integer number (938331405).

Almost surely, 2230698108800 is an apocalyptic number.

230698108800 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 230698108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450399074400).

230698108800 is an abundant number, since it is smaller than the sum of its proper divisors (670100040000).

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

230698108800 is a wasteful number, since it uses less digits than its factorization.

230698108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 230698108800 in words is "two hundred thirty billion, six hundred ninety-eight million, one hundred eight thousand, eight hundred".