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2445130000 = 24542310631
BaseRepresentation
bin1001000110111101…
…1011100100010000
320022101221110210101
42101233123210100
520001423130000
61042343342144
7114410155615
oct22157334420
96271843711
102445130000
1110452373a5
12582a51954
132cc75a4b1
14192a4a50c
15e49dce6a
hex91bdb910

2445130000 has 100 divisors (see below), whose sum is σ = 6177872448. Its totient is φ = 935440000.

The previous prime is 2445129971. The next prime is 2445130001. The reversal of 2445130000 is 315442.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 2445130000.

It is not an unprimeable number, because it can be changed into a prime (2445130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224685 + ... + 235315.

Almost surely, 22445130000 is an apocalyptic number.

2445130000 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 2445130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088936224).

2445130000 is an abundant number, since it is smaller than the sum of its proper divisors (3732742448).

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

2445130000 is a wasteful number, since it uses less digits than its factorization.

2445130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2445130000 is about 49448.2557831922. The cubic root of 2445130000 is about 1347.2059266735.

Adding to 2445130000 its reverse (315442), we get a palindrome (2445445442).

The spelling of 2445130000 in words is "two billion, four hundred forty-five million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 10631 11500 14375 21262 23000 28750 42524 46000 53155 57500 85048 106310 115000 170096 212620 230000 244513 265775 425240 489026 531550 850480 978052 1063100 1222565 1328875 1956104 2126200 2445130 2657750 3912208 4252400 4890260 5315500 6112825 6644375 9780520 10631000 12225650 13288750 19561040 21262000 24451300 26577500 30564125 48902600 53155000 61128250 97805200 106310000 122256500 152820625 244513000 305641250 489026000 611282500 1222565000 2445130000