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231532000 = 255378269
BaseRepresentation
bin11011100110011…
…10010111100000
3121010200001012021
431303032113200
5433233011000
634550311224
75510663260
oct1563162740
9533601167
10231532000
1110976a467
1265658514
1338c776ab
1422a6d7a0
15154d711a
hexdcce5e0

231532000 has 96 divisors (see below), whose sum is σ = 650220480. Its totient is φ = 79372800.

The previous prime is 231531991. The next prime is 231532009. The reversal of 231532000 is 235132.

It is an interprime number because it is at equal distance from previous prime (231531991) and next prime (231532009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231532009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23866 + ... + 32134.

It is an arithmetic number, because the mean of its divisors is an integer number (6773130).

Almost surely, 2231532000 is an apocalyptic number.

231532000 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 231532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325110240).

231532000 is an abundant number, since it is smaller than the sum of its proper divisors (418688480).

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

231532000 is an equidigital number, since it uses as much as digits as its factorization.

231532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 231532000 is about 15216.1756036134. The cubic root of 231532000 is about 614.0499133597.

Adding to 231532000 its reverse (235132), we get a palindrome (231767132).

The spelling of 231532000 in words is "two hundred thirty-one million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 8269 14000 16538 28000 33076 41345 57883 66152 82690 115766 132304 165380 206725 231532 264608 289415 330760 413450 463064 578830 661520 826900 926128 1033625 1157660 1323040 1447075 1653800 1852256 2067250 2315320 2894150 3307600 4134500 4630640 5788300 6615200 7235375 8269000 9261280 11576600 14470750 16538000 23153200 28941500 33076000 46306400 57883000 115766000 231532000