Base | Representation |
---|---|
bin | 1000010111101010… |
… | …1101011001000000 |
3 | 12210120200020022100 |
4 | 2011322231121000 |
5 | 14100132310000 |
6 | 1010535510400 |
7 | 106451100462 |
oct | 20572553100 |
9 | 5716606270 |
10 | 2246760000 |
11 | a53268051 |
12 | 528528400 |
13 | 29a6240b4 |
14 | 174570132 |
15 | d23a6a00 |
hex | 85ead640 |
2246760000 has 315 divisors, whose sum is σ = 8150493351. Its totient is φ = 591552000.
The previous prime is 2246759987. The next prime is 2246760017. The reversal of 2246760000 is 676422.
The square root of 2246760000 is 47400.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 2070614016 = 13272^2 + 45504^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28439961 + ... + 28440039.
Almost surely, 22246760000 is an apocalyptic number.
2246760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2246760000 is the 47400-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2246760000
2246760000 is an abundant number, since it is smaller than the sum of its proper divisors (5903733351).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2246760000 is an frugal number, since it uses more digits than its factorization.
2246760000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 196 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The cubic root of 2246760000 is about 1309.7414170187.
The spelling of 2246760000 in words is "two billion, two hundred forty-six million, seven hundred sixty thousand".
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