Base | Representation |
---|---|
bin | 111100010110100… |
… | …0110101111010000 |
3 | 12020010120020020100 |
4 | 1320231012233100 |
5 | 13121410340000 |
6 | 532540412400 |
7 | 101116660323 |
oct | 17055065720 |
9 | 5203506210 |
10 | 2025090000 |
11 | 94a1240aa |
12 | 486247100 |
13 | 26372050b |
14 | 152d4a7ba |
15 | bcbbba00 |
hex | 78b46bd0 |
2025090000 has 150 divisors (see below), whose sum is σ = 7082346986. Its totient is φ = 540000000.
The previous prime is 2025089959. The next prime is 2025090019. The reversal of 2025090000 is 905202.
2025090000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 450012-1.
It can be written as a sum of positive squares in 5 ways, for example, as 166100544 + 1858989456 = 12888^2 + 43116^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78750 + ... + 101250.
Almost surely, 22025090000 is an apocalyptic number.
2025090000 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 2025090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541173493).
2025090000 is an abundant number, since it is smaller than the sum of its proper divisors (5057256986).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2025090000 is a wasteful number, since it uses less digits than its factorization.
2025090000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22535 (or 22511 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 2025090000 is about 45000.9999888891. Note that the first 4 decimals coincide. The cubic root of 2025090000 is about 1265.1677406231.
Adding to 2025090000 its reverse (905202), we get a palindrome (2025995202).
The spelling of 2025090000 in words is "two billion, twenty-five million, ninety thousand".
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