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231420200 = 235211372843
BaseRepresentation
bin11011100101100…
…11000100101000
3121010110100211112
431302303010220
5433220421300
634544045452
75510016314
oct1562630450
9533410745
10231420200
111096a3470
1265603888
1338c3883b
1422a40b44
15154b3e35
hexdcb3128

231420200 has 96 divisors (see below), whose sum is σ = 603041760. Its totient is φ = 81849600.

The previous prime is 231420187. The next prime is 231420221. The reversal of 231420200 is 2024132.

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, 79979 + ... + 82821.

It is an arithmetic number, because the mean of its divisors is an integer number (6281685).

Almost surely, 2231420200 is an apocalyptic number.

231420200 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 231420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301520880).

231420200 is an abundant number, since it is smaller than the sum of its proper divisors (371621560).

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

231420200 is a wasteful number, since it uses less digits than its factorization.

231420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 231420200 is about 15212.5014379621. The cubic root of 231420200 is about 613.9510618934.

Adding to 231420200 its reverse (2024132), we get a palindrome (233444332).

The spelling of 231420200 in words is "two hundred thirty-one million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1100 1480 1628 1850 2035 2200 2843 3256 3700 4070 5686 7400 8140 10175 11372 14215 16280 20350 22744 28430 31273 40700 56860 62546 71075 81400 105191 113720 125092 142150 156365 210382 250184 284300 312730 420764 525955 568600 625460 781825 841528 1051910 1157101 1250920 1563650 2103820 2314202 2629775 3127300 4207640 4628404 5259550 5785505 6254600 9256808 10519100 11571010 21038200 23142020 28927525 46284040 57855050 115710100 231420200