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231458570112 = 27372117315319
BaseRepresentation
bin1101011110010000000…
…0010111111110000000
3211010102202010121220210
43113210000113332000
512243011343220422
6254155224234120
722502521245600
oct3274400277600
9733382117823
10231458570112
118a185368580
1238a3700b940
1318a9892bbc3
14b2ba126c00
15604a16210c
hex35e4017f80

231458570112 has 384 divisors, whose sum is σ = 790945862400. Its totient is φ = 59291688960.

The previous prime is 231458570081. The next prime is 231458570137. The reversal of 231458570112 is 211075854132.

231458570112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15101589 + ... + 15116907.

It is an arithmetic number, because the mean of its divisors is an integer number (2059754850).

Almost surely, 2231458570112 is an apocalyptic number.

231458570112 is a gapful number since it is divisible by the number (22) 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 231458570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395472931200).

231458570112 is an abundant number, since it is smaller than the sum of its proper divisors (559487292288).

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

231458570112 is a wasteful number, since it uses less digits than its factorization.

231458570112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 231458570112 in words is "two hundred thirty-one billion, four hundred fifty-eight million, five hundred seventy thousand, one hundred twelve".