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23322000300 = 22352194395153
BaseRepresentation
bin10101101110000110…
…010111101110101100
32020012100110100221220
4111232012113232230
5340230413002200
614414115223340
71453640505654
oct255606275654
966170410856
1023322000300
119988730015
12462a5a7b50
1322789c09a1
1411b358b364
159177174a0
hex56e197bac

23322000300 has 144 divisors (see below), whose sum is σ = 72682431360. Its totient is φ = 5754792960.

The previous prime is 23322000269. The next prime is 23322000313. The reversal of 23322000300 is 300022332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23322000300.

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, 197524 + ... + 292676.

Almost surely, 223322000300 is an apocalyptic number.

23322000300 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 23322000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36341215680).

23322000300 is an abundant number, since it is smaller than the sum of its proper divisors (49360431060).

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

23322000300 is a wasteful number, since it uses less digits than its factorization.

23322000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95232 (or 95225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23322000300 its reverse (300022332), we get a palindrome (23622022632).

The spelling of 23322000300 in words is "twenty-three billion, three hundred twenty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 43 50 57 60 75 76 86 95 100 114 129 150 172 190 215 228 258 285 300 380 430 475 516 570 645 817 860 950 1075 1140 1290 1425 1634 1900 2150 2451 2580 2850 3225 3268 4085 4300 4902 5700 6450 8170 9804 12255 12900 16340 20425 24510 40850 49020 61275 81700 95153 122550 190306 245100 285459 380612 475765 570918 951530 1141836 1427295 1807907 1903060 2378825 2854590 3615814 4091579 4757650 5423721 5709180 7136475 7231628 8183158 9039535 9515300 10847442 12274737 14272950 16366316 18079070 20457895 21694884 24549474 27118605 28545900 36158140 40915790 45197675 49098948 54237210 61373685 77740001 81831580 90395350 102289475 108474420 122747370 135593025 155480002 180790700 204578950 233220003 245494740 271186050 306868425 310960004 388700005 409157900 466440006 542372100 613736850 777400010 932880012 1166100015 1227473700 1554800020 1943500025 2332200030 3887000050 4664400060 5830500075 7774000100 11661000150 23322000300