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231412500 = 22325511217
BaseRepresentation
bin11011100101100…
…01001100010100
3121010102222021100
431302301030110
5433220200000
634543550100
75506655004
oct1562611424
9533388240
10231412500
11109698700
12655bb330
1338c35197
1422a3c004
15154b1a00
hexdcb1314

231412500 has 324 divisors, whose sum is σ = 850937724. Its totient is φ = 52800000.

The previous prime is 231412451. The next prime is 231412507. The reversal of 231412500 is 5214132.

231412500 is a `hidden beast` number, since 23 + 141 + 2 + 500 = 666.

231412500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 162256644 + 69155856 = 12738^2 + 8316^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231412507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13612492 + ... + 13612508.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351).

Almost surely, 2231412500 is an apocalyptic number.

231412500 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 231412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425468862).

231412500 is an abundant number, since it is smaller than the sum of its proper divisors (619525224).

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

231412500 is a wasteful number, since it uses less digits than its factorization.

231412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 231412500 is about 15212.2483545333. The cubic root of 231412500 is about 613.9442525258.

Adding to 231412500 its reverse (5214132), we get a palindrome (236626632).

The spelling of 231412500 in words is "two hundred thirty-one million, four hundred twelve thousand, five hundred".