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231033000 = 23353117001
BaseRepresentation
bin11011100010101…
…00100010101000
3121002201200200210
431301110202220
5433121024000
634531501120
75503514412
oct1561244250
9532650623
10231033000
11109459570
12654577a0
1338b31523
142297d9b2
1515439350
hexdc548a8

231033000 has 128 divisors (see below), whose sum is σ = 786464640. Its totient is φ = 56000000.

The previous prime is 231032983. The next prime is 231033001. The reversal of 231033000 is 330132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (231033001) 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, 29500 + ... + 36500.

It is an arithmetic number, because the mean of its divisors is an integer number (6144255).

Almost surely, 2231033000 is an apocalyptic number.

231033000 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 231033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393232320).

231033000 is an abundant number, since it is smaller than the sum of its proper divisors (555431640).

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

231033000 is a wasteful number, since it uses less digits than its factorization.

231033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 231033000 is about 15199.7697350980. The cubic root of 231033000 is about 613.6084606342.

Adding to 231033000 its reverse (330132), we get a palindrome (231363132).

The spelling of 231033000 in words is "two hundred thirty-one million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 7001 8250 11000 14002 16500 21003 28004 33000 35005 42006 56008 70010 77011 84012 105015 140020 154022 168024 175025 210030 231033 280040 308044 350050 385055 420060 462066 525075 616088 700100 770110 840120 875125 924132 1050150 1155165 1400200 1540220 1750250 1848264 1925275 2100300 2310330 2625375 3080440 3500500 3850550 4200600 4620660 5250750 5775825 7001000 7701100 9241320 9626375 10501500 11551650 15402200 19252750 21003000 23103300 28879125 38505500 46206600 57758250 77011000 115516500 231033000