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9000316900 = 22525321792
BaseRepresentation
bin10000110000111010…
…11110111111100100
3212020020200110201101
420120131132333210
5121413040120100
64045032005444
7436015300651
oct103035367744
925206613641
109000316900
1138a9498333
1218b2230884
13b05861603
14615498c28
1537a24086a
hex21875efe4

9000316900 has 81 divisors (see below), whose sum is σ = 20017972891. Its totient is φ = 3512466880.

The previous prime is 9000316867. The next prime is 9000316903. The reversal of 9000316900 is 96130009.

It is a happy number.

The square root of 9000316900 is 94870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67798756 + 8932518144 = 8234^2 + 94512^2 .

It is a super-2 number, since 2×90003169002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000316903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50281011 + ... + 50281189.

Almost surely, 29000316900 is an apocalyptic number.

9000316900 is the 94870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000316900

9000316900 is an abundant number, since it is smaller than the sum of its proper divisors (11017655991).

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

9000316900 is a wasteful number, since it uses less digits than its factorization.

9000316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The cubic root of 9000316900 is about 2080.1082367862.

Adding to 9000316900 its reverse (96130009), we get a palindrome (9096446909).

The spelling of 9000316900 in words is "nine billion, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 179 212 265 358 530 716 895 1060 1325 1790 2650 2809 3580 4475 5300 5618 8950 9487 11236 14045 17900 18974 28090 32041 37948 47435 56180 64082 70225 94870 128164 140450 160205 189740 237175 280900 320410 474350 502811 640820 801025 948700 1005622 1602050 1698173 2011244 2514055 3204100 3396346 5028110 6792692 8490865 10056220 12570275 16981730 25140550 33963460 42454325 50281100 84908650 90003169 169817300 180006338 360012676 450015845 900031690 1800063380 2250079225 4500158450 9000316900