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230971338240 = 293571613691
BaseRepresentation
bin1101011100011011110…
…1101110111000000000
3211002011210022200102220
43113012331232320000
512241012130310430
6254035021211040
722454453660526
oct3270675567000
9732153280386
10230971338240
1189a55332005
123891ba00a80
1318a1b9c7616
14b271536316
15601c4bc110
hex35c6f6ee00

230971338240 has 320 divisors, whose sum is σ = 751093212672. Its totient is φ = 60538060800.

The previous prime is 230971338223. The next prime is 230971338251. The reversal of 230971338240 is 42833179032.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 230971338192 and 230971338201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334256295 + ... + 334256985.

Almost surely, 2230971338240 is an apocalyptic number.

230971338240 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 230971338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375546606336).

230971338240 is an abundant number, since it is smaller than the sum of its proper divisors (520121874432).

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

230971338240 is an equidigital number, since it uses as much as digits as its factorization.

230971338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 230971338240 in words is "two hundred thirty billion, nine hundred seventy-one million, three hundred thirty-eight thousand, two hundred forty".