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8230445000 = 235412832
BaseRepresentation
bin1111010101001001…
…01001111111001000
3210020121000221000022
413222210221333020
5113323443220000
63440411000012
7410646425321
oct75244517710
923217027008
108230445000
113543965168
121718439008
13a121c9acb
14581133448
1533286a585
hex1ea929fc8

8230445000 has 60 divisors (see below), whose sum is σ = 19298974695. Its totient is φ = 3289612000.

The previous prime is 8230444967. The next prime is 8230445077. The reversal of 8230445000 is 5440328.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1902878884 + 6327566116 = 43622^2 + 79546^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64150.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6414359 + ... + 6415641.

Almost surely, 28230445000 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 8230445000

8230445000 is an abundant number, since it is smaller than the sum of its proper divisors (11068529695).

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

8230445000 is an frugal number, since it uses more digits than its factorization.

8230445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 8230445000 is about 90721.8000262340. The cubic root of 8230445000 is about 2019.0222533448.

Adding to 8230445000 its reverse (5440328), we get a palindrome (8235885328).

The spelling of 8230445000 in words is "eight billion, two hundred thirty million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1283 2500 2566 5000 5132 6415 10264 12830 25660 32075 51320 64150 128300 160375 256600 320750 641500 801875 1283000 1603750 1646089 3207500 3292178 6415000 6584356 8230445 13168712 16460890 32921780 41152225 65843560 82304450 164608900 205761125 329217800 411522250 823044500 1028805625 1646089000 2057611250 4115222500 8230445000