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254225130000 = 2435419446009
BaseRepresentation
bin1110110011000011111…
…1111010001000010000
3220022012101102200212120
43230300333322020100
513131123113130000
6312442302454240
724236635644012
oct3546077721020
9808171380776
10254225130000
11988a8504a26
124132b594380
131ac8652600a
14c439a0a1b2
15692dc0e6a0
hex3b30ffa210

254225130000 has 200 divisors, whose sum is σ = 863867848800. Its totient is φ = 64225152000.

The previous prime is 254225129999. The next prime is 254225130139. The reversal of 254225130000 is 31522452.

254225130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 346996 + ... + 793004.

It is an arithmetic number, because the mean of its divisors is an integer number (4319339244).

Almost surely, 2254225130000 is an apocalyptic number.

254225130000 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 254225130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431933924400).

254225130000 is an abundant number, since it is smaller than the sum of its proper divisors (609642718800).

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

254225130000 is a wasteful number, since it uses less digits than its factorization.

254225130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446059 (or 446038 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 254225130000 its reverse (31522452), we get a palindrome (254256652452).

The spelling of 254225130000 in words is "two hundred fifty-four billion, two hundred twenty-five million, one hundred thirty thousand".