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231220200 = 23352735279
BaseRepresentation
bin11011100100000…
…10001111101000
3121010002012111010
431302002033220
5433143021300
634535503520
75505224241
oct1562021750
9533065433
10231220200
11109577182
1265527ba0
1338b987b3
14229cbcc8
1515474a50
hexdc823e8

231220200 has 96 divisors (see below), whose sum is σ = 726739200. Its totient is φ = 60802560.

The previous prime is 231220193. The next prime is 231220217. The reversal of 231220200 is 2022132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41161 + ... + 46439.

It is an arithmetic number, because the mean of its divisors is an integer number (7570200).

Almost surely, 2231220200 is an apocalyptic number.

231220200 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 231220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363369600).

231220200 is an abundant number, since it is smaller than the sum of its proper divisors (495519000).

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

231220200 is a wasteful number, since it uses less digits than its factorization.

231220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 231220200 is about 15205.9264762131. The cubic root of 231220200 is about 613.7741461901.

Adding to 231220200 its reverse (2022132), we get a palindrome (233242332).

The spelling of 231220200 in words is "two hundred thirty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5279 5475 7300 8760 10558 10950 14600 15837 21116 21900 26395 31674 42232 43800 52790 63348 79185 105580 126696 131975 158370 211160 263950 316740 385367 395925 527900 633480 770734 791850 1055800 1156101 1541468 1583700 1926835 2312202 3082936 3167400 3853670 4624404 5780505 7707340 9248808 9634175 11561010 15414680 19268350 23122020 28902525 38536700 46244040 57805050 77073400 115610100 231220200