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231214040 = 23519793851
BaseRepresentation
bin11011100100000…
…00101111011000
3121010001220000222
431302000233120
5433142322130
634535415212
75505200261
oct1562005730
9533056028
10231214040
11109572592
1265524508
1338b95a55
14229c9968
1515472ce5
hexdc80bd8

231214040 has 64 divisors (see below), whose sum is σ = 554688000. Its totient is φ = 86486400.

The previous prime is 231214019. The next prime is 231214043. The reversal of 231214040 is 40412132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231214043) 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 15 ways as a sum of consecutive naturals, for example, 58115 + ... + 61965.

It is an arithmetic number, because the mean of its divisors is an integer number (8667000).

Almost surely, 2231214040 is an apocalyptic number.

231214040 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 231214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277344000).

231214040 is an abundant number, since it is smaller than the sum of its proper divisors (323473960).

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

231214040 is a wasteful number, since it uses less digits than its factorization.

231214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3956 counting only the distinct ones).

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

The square root of 231214040 is about 15205.7239222603. The cubic root of 231214040 is about 613.7686955672.

Adding to 231214040 its reverse (40412132), we get a palindrome (271626172).

The spelling of 231214040 in words is "two hundred thirty-one million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 3002 3160 3851 6004 7505 7702 12008 15010 15404 19255 30020 30808 38510 60040 73169 77020 146338 154040 292676 304229 365845 585352 608458 731690 1216916 1463380 1521145 2433832 2926760 3042290 5780351 6084580 11560702 12169160 23121404 28901755 46242808 57803510 115607020 231214040