Base | Representation |
---|---|
bin | 1010001001010001… |
… | …0000101000100000 |
3 | 21000210012220120000 |
4 | 2202110100220200 |
5 | 21034121020000 |
6 | 1130120020000 |
7 | 124324662624 |
oct | 24224205040 |
9 | 7023186500 |
10 | 2723220000 |
11 | 1178206546 |
12 | 640001600 |
13 | 3452566a7 |
14 | 1bb959184 |
15 | 10e120000 |
hex | a2510a20 |
2723220000 has 450 divisors, whose sum is σ = 10257989049. Its totient is φ = 708480000.
The previous prime is 2723219999. The next prime is 2723220013. The reversal of 2723220000 is 223272.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 8 ways, for example, as 1531313424 + 1191906576 = 39132^2 + 34524^2 .
It is a tau number, because it is divible by the number of its divisors (450).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=36900.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 66419980 + ... + 66420020.
Almost surely, 22723220000 is an apocalyptic number.
2723220000 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 2723220000
2723220000 is an abundant number, since it is smaller than the sum of its proper divisors (7534769049).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2723220000 is an frugal number, since it uses more digits than its factorization.
2723220000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 2723220000 is about 52184.4804515672. The cubic root of 2723220000 is about 1396.4570277780.
Multiplying 2723220000 by its sum of digits (18), we get a square (49017960000 = 2214002).
2723220000 divided by its sum of digits (18) gives a square (151290000 = 123002).
Adding to 2723220000 its reverse (223272), we get a palindrome (2723443272).
The spelling of 2723220000 in words is "two billion, seven hundred twenty-three million, two hundred twenty thousand".
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