Search a number
-
+
225331130000 = 245422533113
BaseRepresentation
bin1101000111011011001…
…0000010111010010000
3210112121201021102021102
43101312302002322100
512142434232130000
6251303220043532
722164626000654
oct3216662027220
9715551242242
10225331130000
1187620604089
1237806b335a8
13183303328b2
14ac98422a64
155cdc2543d5
hex3476c82e90

225331130000 has 50 divisors (see below), whose sum is σ = 545549223054. Its totient is φ = 90132448000.

The previous prime is 225331129951. The next prime is 225331130027. The reversal of 225331130000 is 31133522.

It can be written as a sum of positive squares in 5 ways, for example, as 33543189904 + 191787940096 = 183148^2 + 437936^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 11256557 + ... + 11276556.

Almost surely, 2225331130000 is an apocalyptic number.

225331130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225331130000 is an abundant number, since it is smaller than the sum of its proper divisors (320218093054).

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

225331130000 is an equidigital number, since it uses as much as digits as its factorization.

225331130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22533141 (or 22533120 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 225331130000 its reverse (31133522), we get a palindrome (225362263522).

The spelling of 225331130000 in words is "two hundred twenty-five billion, three hundred thirty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 22533113 45066226 90132452 112665565 180264904 225331130 360529808 450662260 563327825 901324520 1126655650 1802649040 2253311300 2816639125 4506622600 5633278250 9013245200 11266556500 14083195625 22533113000 28166391250 45066226000 56332782500 112665565000 225331130000