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231414200000 = 265517292347
BaseRepresentation
bin1101011110000101011…
…1000111011011000000
3211010022122122101120022
43113201113013123000
512242414013400000
6254151001233012
722501442146634
oct3274127073300
9733278571508
10231414200000
118a162312665
1238a24192768
1318a8c6951b9
14b2b4296dc4
1560462ea585
hex35e15c76c0

231414200000 has 336 divisors, whose sum is σ = 628966931040. Its totient is φ = 84080640000.

The previous prime is 231414199981. The next prime is 231414200023. The reversal of 231414200000 is 2414132.

231414200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98598827 + ... + 98601173.

It is an arithmetic number, because the mean of its divisors is an integer number (1871925390).

Almost surely, 2231414200000 is an apocalyptic number.

231414200000 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 231414200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314483465520).

231414200000 is an abundant number, since it is smaller than the sum of its proper divisors (397552731040).

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

231414200000 is an equidigital number, since it uses as much as digits as its factorization.

231414200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 231414200000 its reverse (2414132), we get a palindrome (231416614132).

The spelling of 231414200000 in words is "two hundred thirty-one billion, four hundred fourteen million, two hundred thousand".