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23220000300 = 22352712239041
BaseRepresentation
bin10101101000000001…
…010001011000101100
32012221020112020021010
4111220001101120230
5340023310002200
614400033105220
71451261513610
oct255001213054
965836466233
1023220000300
1199360a29a2
1246003b8210
132260829a63
1411a3bd9340
1590d7ba150
hex56805162c

23220000300 has 144 divisors (see below), whose sum is σ = 76852081152. Its totient is φ = 5302502400.

The previous prime is 23220000299. The next prime is 23220000319. The reversal of 23220000300 is 300002232.

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 47 ways as a sum of consecutive naturals, for example, 2563780 + ... + 2572820.

It is an arithmetic number, because the mean of its divisors is an integer number (533695008).

Almost surely, 223220000300 is an apocalyptic number.

23220000300 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 23220000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38426040576).

23220000300 is an abundant number, since it is smaller than the sum of its proper divisors (53632080852).

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

23220000300 is a wasteful number, since it uses less digits than its factorization.

23220000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 10281 counting only the distinct ones).

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

Adding to 23220000300 its reverse (300002232), we get a palindrome (23520002532).

The spelling of 23220000300 in words is "twenty-three billion, two hundred twenty million, three hundred", and thus it is an aban number.

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 1223 2100 2446 3669 4892 6115 7338 8561 9041 12230 14676 17122 18082 18345 24460 25683 27123 30575 34244 36164 36690 42805 45205 51366 54246 61150 63287 73380 85610 90410 91725 102732 108492 122300 126574 128415 135615 171220 180820 183450 189861 214025 226025 253148 256830 271230 316435 366900 379722 428050 452050 513660 542460 632870 642075 678075 759444 856100 904100 949305 1265740 1284150 1356150 1582175 1898610 2568300 2712300 3164350 3797220 4746525 6328700 9493050 11057143 18986100 22114286 33171429 44228572 55285715 66342858 77400001 110571430 132685716 154800002 165857145 221142860 232200003 276428575 309600004 331714290 387000005 464400006 552857150 663428580 774000010 829285725 928800012 1105714300 1161000015 1548000020 1658571450 1935000025 2322000030 3317142900 3870000050 4644000060 5805000075 7740000100 11610000150 23220000300