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231232144000 = 27531113101063
BaseRepresentation
bin1101011101011010000…
…0101000001010000000
3211002211222001222200111
43113112200220022000
512242030412102000
6254120535201104
722464101536264
oct3272640501200
9732758058614
10231232144000
118a079576260
1238993216194
1318a60a51560
14b2980260a4
156035337cba
hex35d6828280

231232144000 has 256 divisors, whose sum is σ = 675414754560. Its totient is φ = 77615616000.

The previous prime is 231232143959. The next prime is 231232144001. The reversal of 231232144000 is 441232132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (231232144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237469 + ... + 2338531.

It is an arithmetic number, because the mean of its divisors is an integer number (2638338885).

Almost surely, 2231232144000 is an apocalyptic number.

231232144000 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 231232144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337707377280).

231232144000 is an abundant number, since it is smaller than the sum of its proper divisors (444182610560).

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

231232144000 is a wasteful number, since it uses less digits than its factorization.

231232144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101116 (or 101094 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 231232144000 its reverse (441232132), we get a palindrome (231673376132).

The spelling of 231232144000 in words is "two hundred thirty-one billion, two hundred thirty-two million, one hundred forty-four thousand".