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230132223300 = 223527302336251
BaseRepresentation
bin1101011001010011110…
…0110000110101000100
3211000000022101020010210
43112110330300311010
512232302322121200
6253415444115420
722424614423350
oct3262474606504
9730008336123
10230132223300
1189664705591
1238726995b70
1318916bca9c5
14b1d1d08460
155ebd9ba650
hex3594f30d44

230132223300 has 144 divisors (see below), whose sum is σ = 761243277312. Its totient is φ = 52582800000.

The previous prime is 230132223289. The next prime is 230132223311. The reversal of 230132223300 is 3322231032.

It is an interprime number because it is at equal distance from previous prime (230132223289) and next prime (230132223311).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6330175 + ... + 6366425.

It is an arithmetic number, because the mean of its divisors is an integer number (5286411648).

Almost surely, 2230132223300 is an apocalyptic number.

230132223300 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 230132223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380621638656).

230132223300 is an abundant number, since it is smaller than the sum of its proper divisors (531111054012).

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

230132223300 is a wasteful number, since it uses less digits than its factorization.

230132223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39298 (or 39291 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230132223300 its reverse (3322231032), we get a palindrome (233454454332).

The spelling of 230132223300 in words is "two hundred thirty billion, one hundred thirty-two million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3023 6046 9069 12092 15115 18138 21161 30230 36251 36276 42322 45345 60460 63483 72502 75575 84644 90690 105805 108753 126966 145004 151150 181255 181380 211610 217506 226725 253757 253932 302300 317415 362510 423220 435012 453450 507514 529025 543765 634830 725020 761271 906275 906900 1015028 1058050 1087530 1268785 1269660 1522542 1587075 1812550 2116100 2175060 2537570 2718825 3045084 3174150 3625100 3806355 5075140 5437650 6343925 6348300 7612710 10875300 12687850 15225420 19031775 25375700 38063550 76127100 109586773 219173546 328760319 438347092 547933865 657520638 767107411 1095867730 1315041276 1534214822 1643801595 2191735460 2301322233 2739669325 3068429644 3287603190 3835537055 4602644466 5479338650 6575206380 7671074110 8219007975 9205288932 10958677300 11506611165 15342148220 16438015950 19177685275 23013222330 32876031900 38355370550 46026444660 57533055825 76710741100 115066111650 230132223300