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231332000 = 2553151383
BaseRepresentation
bin11011100100111…
…01100010100000
3121010021212211212
431302131202200
5433210111000
634542125252
75506201214
oct1562354240
9533255755
10231332000
11109643179
1265580828
1338c07653
1422a1a944
1515497c35
hexdc9d8a0

231332000 has 96 divisors (see below), whose sum is σ = 573640704. Its totient is φ = 91680000.

The previous prime is 231331993. The next prime is 231332027. The reversal of 231332000 is 233132.

It is an unprimeable number.

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, 603809 + ... + 604191.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2231332000 is an apocalyptic number.

231332000 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 231332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352).

231332000 is an abundant number, since it is smaller than the sum of its proper divisors (342308704).

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

231332000 is a wasteful number, since it uses less digits than its factorization.

231332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 231332000 is about 15209.6022301703. The cubic root of 231332000 is about 613.8730546372.

Adding to 231332000 its reverse (233132), we get a palindrome (231565132).

The spelling of 231332000 in words is "two hundred thirty-one million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 151 160 200 250 302 383 400 500 604 755 766 800 1000 1208 1510 1532 1915 2000 2416 3020 3064 3775 3830 4000 4832 6040 6128 7550 7660 9575 12080 12256 15100 15320 18875 19150 24160 30200 30640 37750 38300 47875 57833 60400 61280 75500 76600 95750 115666 120800 151000 153200 191500 231332 289165 302000 306400 383000 462664 578330 604000 766000 925328 1156660 1445825 1532000 1850656 2313320 2891650 4626640 5783300 7229125 9253280 11566600 14458250 23133200 28916500 46266400 57833000 115666000 231332000