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231063000 = 23353711003
BaseRepresentation
bin11011100010110…
…11110111011000
3121002210012211220
431301123313120
5433123004000
634532252040
75504001030
oct1561336730
9532705756
10231063000
1110947a063
1265471020
1338b4208c
142298a8c0
15154431a0
hexdc5bdd8

231063000 has 128 divisors (see below), whose sum is σ = 823979520. Its totient is φ = 52809600.

The previous prime is 231062999. The next prime is 231063013. The reversal of 231063000 is 360132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15499 + ... + 26501.

It is an arithmetic number, because the mean of its divisors is an integer number (6437340).

Almost surely, 2231063000 is an apocalyptic number.

231063000 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 231063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411989760).

231063000 is an abundant number, since it is smaller than the sum of its proper divisors (592916520).

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

231063000 is a wasteful number, since it uses less digits than its factorization.

231063000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 231063000 is about 15200.7565601190. The cubic root of 231063000 is about 613.6350188273.

It can be divided in two parts, 23106 and 3000, that added together give a triangular number (26106 = T228).

The spelling of 231063000 in words is "two hundred thirty-one million, sixty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 11003 21000 22006 33009 44012 55015 66018 77021 88024 110030 132036 154042 165045 220060 231063 264072 275075 308084 330090 385105 440120 462126 550150 616168 660180 770210 825225 924252 1100300 1155315 1320360 1375375 1540420 1650450 1848504 1925525 2200600 2310630 2750750 3080840 3300900 3851050 4126125 4621260 5501500 5776575 6601800 7702100 8252250 9242520 9627625 11003000 11553150 15404200 16504500 19255250 23106300 28882875 33009000 38510500 46212600 57765750 77021000 115531500 231063000