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230022300 = 223524118701
BaseRepresentation
bin11011011010111…
…01110010011100
3121000211100021110
431231131302130
5432341203200
634454102020
75462104644
oct1555356234
9530740243
10230022300
11108929182
126504a910
1338869491
1422799524
15152d9b50
hexdb5dc9c

230022300 has 72 divisors (see below), whose sum is σ = 681800112. Its totient is φ = 59840000.

The previous prime is 230022281. The next prime is 230022311. The reversal of 230022300 is 3220032.

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

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 23 ways as a sum of consecutive naturals, for example, 2950 + ... + 21650.

It is an arithmetic number, because the mean of its divisors is an integer number (9469446).

Almost surely, 2230022300 is an apocalyptic number.

230022300 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 230022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340900056).

230022300 is an abundant number, since it is smaller than the sum of its proper divisors (451777812).

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

230022300 is a wasteful number, since it uses less digits than its factorization.

230022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18759 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230022300 is about 15166.4860795110. The cubic root of 230022300 is about 612.7123683963.

Adding to 230022300 its reverse (3220032), we get a palindrome (233242332).

The spelling of 230022300 in words is "two hundred thirty million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 18701 37402 56103 74804 93505 112206 187010 224412 280515 374020 467525 561030 766741 935050 1122060 1402575 1533482 1870100 2300223 2805150 3066964 3833705 4600446 5610300 7667410 9200892 11501115 15334820 19168525 23002230 38337050 46004460 57505575 76674100 115011150 230022300