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231452000 = 2553134451
BaseRepresentation
bin11011100101110…
…10110101100000
3121010111222110022
431302322311200
5433222431000
634544453012
75510211113
oct1562726540
9533458408
10231452000
1110971534a
126561a168
1338c4a160
1422a4c57a
15154bd585
hexdcbad60

231452000 has 96 divisors (see below), whose sum is σ = 612559584. Its totient is φ = 85440000.

The previous prime is 231451963. The next prime is 231452009. The reversal of 231452000 is 254132.

It is a super-4 number, since 4×2314520004 (a number of 35 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231452000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231452009) 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, 49775 + ... + 54225.

It is an arithmetic number, because the mean of its divisors is an integer number (6380829).

Almost surely, 2231452000 is an apocalyptic number.

231452000 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 231452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306279792).

231452000 is an abundant number, since it is smaller than the sum of its proper divisors (381107584).

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

231452000 is a wasteful number, since it uses less digits than its factorization.

231452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 231452000 is about 15213.5465950580. The cubic root of 231452000 is about 613.9791820972.

The spelling of 231452000 in words is "two hundred thirty-one million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 4451 5200 6500 8902 10400 13000 17804 22255 26000 35608 44510 52000 57863 71216 89020 111275 115726 142432 178040 222550 231452 289315 356080 445100 462904 556375 578630 712160 890200 925808 1112750 1157260 1446575 1780400 1851616 2225500 2314520 2893150 3560800 4451000 4629040 5786300 7232875 8902000 9258080 11572600 14465750 17804000 23145200 28931500 46290400 57863000 115726000 231452000