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231012144 = 2432112947107
BaseRepresentation
bin11011100010011…
…11011100110000
3121002200122002100
431301033130300
5433114342034
634531220400
75503366536
oct1561173460
9532618070
10231012144
11109444930
1265447700
1338b24b9c
1422976156
1515433099
hexdc4f730

231012144 has 240 divisors, whose sum is σ = 752094720. Its totient is φ = 65533440.

The previous prime is 231012143. The next prime is 231012151. The reversal of 231012144 is 441210132.

It is a super-2 number, since 2×2310121442 = 106733221350953472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231012143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2158939 + ... + 2159045.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2231012144 is an apocalyptic number.

231012144 is a gapful number since it is divisible by the number (24) 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 231012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047360).

231012144 is an abundant number, since it is smaller than the sum of its proper divisors (521082576).

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

231012144 is a wasteful number, since it uses less digits than its factorization.

231012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231012144 is about 15199.0836565893. The cubic root of 231012144 is about 613.5899960236.

Adding to 231012144 its reverse (441210132), we get a palindrome (672222276).

The spelling of 231012144 in words is "two hundred thirty-one million, twelve thousand, one hundred forty-four".