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231504640 = 2851710639
BaseRepresentation
bin11011100110001…
…11101100000000
3121010121122122221
431303013230000
5433231122030
634545540424
75510520433
oct1563075400
9533548587
10231504640
11109750954
1265644714
1338c680c3
1422a6381a
15154cde7a
hexdcc7b00

231504640 has 72 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 87146496.

The previous prime is 231504629. The next prime is 231504643. The reversal of 231504640 is 46405132.

It is not an unprimeable number, because it can be changed into a prime (231504643) 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 7 ways as a sum of consecutive naturals, for example, 16441 + ... + 27079.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2231504640 is an apocalyptic number.

231504640 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 231504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

231504640 is an abundant number, since it is smaller than the sum of its proper divisors (355695680).

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

231504640 is a wasteful number, since it uses less digits than its factorization.

231504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10677 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 231504640 is about 15215.2765337998. The cubic root of 231504640 is about 614.0257251014.

Adding to 231504640 its reverse (46405132), we get a palindrome (277909772).

The spelling of 231504640 in words is "two hundred thirty-one million, five hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10639 10880 21278 21760 42556 53195 85112 106390 170224 180863 212780 340448 361726 425560 680896 723452 851120 904315 1361792 1446904 1702240 1808630 2723584 2893808 3404480 3617260 5787616 6808960 7234520 11575232 13617920 14469040 23150464 28938080 46300928 57876160 115752320 231504640