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230021000 = 23531121901
BaseRepresentation
bin11011011010111…
…01011110001000
3121000211021111022
431231131132020
5432341133000
634454052012
75462101106
oct1555353610
9530737438
10230021000
11108928200
126504a008
1338868a01
1422798c76
15152d9585
hexdb5d788

230021000 has 96 divisors (see below), whose sum is σ = 591940440. Its totient is φ = 83600000.

The previous prime is 230020997. The next prime is 230021027. The reversal of 230021000 is 120032.

It can be written as a sum of positive squares in 4 ways, for example, as 23639044 + 206381956 = 4862^2 + 14366^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120050 + ... + 121950.

Almost surely, 2230021000 is an apocalyptic number.

230021000 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 230021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295970220).

230021000 is an abundant number, since it is smaller than the sum of its proper divisors (361919440).

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

230021000 is a wasteful number, since it uses less digits than its factorization.

230021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 230021000 is about 15166.4432217973. The cubic root of 230021000 is about 612.7112141204.

Adding to 230021000 its reverse (120032), we get a palindrome (230141032).

The spelling of 230021000 in words is "two hundred thirty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 1901 2200 2420 2750 3025 3802 4840 5500 6050 7604 9505 11000 12100 15125 15208 19010 20911 24200 30250 38020 41822 47525 60500 76040 83644 95050 104555 121000 167288 190100 209110 230021 237625 380200 418220 460042 475250 522775 836440 920084 950500 1045550 1150105 1840168 1901000 2091100 2300210 2613875 4182200 4600420 5227750 5750525 9200840 10455500 11501050 20911000 23002100 28752625 46004200 57505250 115010500 230021000