Base | Representation |
---|---|
bin | 10100110110111000… |
… | …111001010110010000 |
3 | 2010210210111111210000 |
4 | 110312320321112100 |
5 | 331331301033404 |
6 | 14142150010000 |
7 | 1421662326351 |
oct | 246670712620 |
9 | 63723444700 |
10 | 22395721104 |
11 | 9552889819 |
12 | 4410346900 |
13 | 215bb25aa3 |
14 | 112654dd28 |
15 | 8b1249339 |
hex | 536e39590 |
22395721104 has 75 divisors (see below), whose sum is σ = 64835311057. Its totient is φ = 7463444544.
The previous prime is 22395721099. The next prime is 22395721111. The reversal of 22395721104 is 40112759322.
The square root of 22395721104 is 149652.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 10196960400 + 12198760704 = 100980^2 + 110448^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
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 14 ways as a sum of consecutive naturals, for example, 5385394 + ... + 5389550.
Almost surely, 222395721104 is an apocalyptic number.
22395721104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
22395721104 is the 149652-nd square number.
It is an amenable number.
22395721104 is an abundant number, since it is smaller than the sum of its proper divisors (42439589953).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22395721104 is an frugal number, since it uses more digits than its factorization.
22395721104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8334 (or 4162 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
Multiplying 22395721104 by its sum of digits (36), we get a square (806245959744 = 8979122).
22395721104 divided by its sum of digits (36) gives a square (622103364 = 249422).
The spelling of 22395721104 in words is "twenty-two billion, three hundred ninety-five million, seven hundred twenty-one thousand, one hundred four".
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