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231014000 = 2453729569
BaseRepresentation
bin11011100010011…
…11111001110000
3121002200201122002
431301033321300
5433114422000
634531233132
75503405130
oct1561177160
9532621562
10231014000
11109446268
12654487a8
1338b25999
1422976ac0
15154338d5
hexdc4fe70

231014000 has 160 divisors (see below), whose sum is σ = 661564800. Its totient is φ = 76339200.

The previous prime is 231013973. The next prime is 231014009. The reversal of 231014000 is 410132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231014009) 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, 405716 + ... + 406284.

It is an arithmetic number, because the mean of its divisors is an integer number (4134780).

Almost surely, 2231014000 is an apocalyptic number.

231014000 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 231014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330782400).

231014000 is an abundant number, since it is smaller than the sum of its proper divisors (430550800).

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

231014000 is a wasteful number, since it uses less digits than its factorization.

231014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 231014000 is about 15199.1447127791. The cubic root of 231014000 is about 613.5916392561.

Adding to 231014000 its reverse (410132), we get a palindrome (231424132).

The spelling of 231014000 in words is "two hundred thirty-one million, fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 125 140 145 175 200 203 232 250 280 290 350 400 406 464 500 560 569 580 700 725 812 875 1000 1015 1138 1160 1400 1450 1624 1750 2000 2030 2276 2320 2800 2845 2900 3248 3500 3625 3983 4060 4552 5075 5690 5800 7000 7250 7966 8120 9104 10150 11380 11600 14000 14225 14500 15932 16240 16501 19915 20300 22760 25375 28450 29000 31864 33002 39830 40600 45520 50750 56900 58000 63728 66004 71125 79660 81200 82505 99575 101500 113800 115507 132008 142250 159320 165010 199150 203000 227600 231014 264016 284500 318640 330020 398300 406000 412525 462028 497875 569000 577535 660040 796600 825050 924056 995750 1138000 1155070 1320080 1593200 1650100 1848112 1991500 2062625 2310140 2887675 3300200 3983000 4125250 4620280 5775350 6600400 7966000 8250500 9240560 11550700 14438375 16501000 23101400 28876750 33002000 46202800 57753500 115507000 231014000