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8223385000 = 23542956713
BaseRepresentation
bin1111010100010011…
…01110010110101000
3210020002202020111211
413222021232112220
5113320141310000
63435555402504
7410532422245
oct75211562650
923202666454
108223385000
11353a982956
121715bb3434
13a108c74ac
145802165cc
15331e237ba
hex1ea26e5a8

8223385000 has 80 divisors (see below), whose sum is σ = 19932135300. Its totient is φ = 3175872000.

The previous prime is 8223384989. The next prime is 8223385007. The reversal of 8223385000 is 5833228.

It can be written as a sum of positive squares in 10 ways, for example, as 281367076 + 7942017924 = 16774^2 + 89118^2 .

It is not an unprimeable number, because it can be changed into a prime (8223385007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116644 + ... + 173356.

Almost surely, 28223385000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8223385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966067650).

8223385000 is an abundant number, since it is smaller than the sum of its proper divisors (11708750300).

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

8223385000 is a wasteful number, since it uses less digits than its factorization.

8223385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56768 (or 56749 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 8223385000 is about 90682.8815157525. The cubic root of 8223385000 is about 2018.4447886274. Note that the first 3 decimals are identical.

The spelling of 8223385000 in words is "eight billion, two hundred twenty-three million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3625 5000 5800 7250 14500 18125 29000 36250 56713 72500 113426 145000 226852 283565 453704 567130 1134260 1417825 1644677 2268520 2835650 3289354 5671300 6578708 7089125 8223385 11342600 13157416 14178250 16446770 28356500 32893540 35445625 41116925 56713000 65787080 70891250 82233850 141782500 164467700 205584625 283565000 328935400 411169250 822338500 1027923125 1644677000 2055846250 4111692500 8223385000