Base | Representation |
---|---|
bin | 1000010001100001… |
… | …1100010101100000 |
3 | 12201210012111021110 |
4 | 2010120130111200 |
5 | 14022034000112 |
6 | 1004215423320 |
7 | 106016121516 |
oct | 20430342540 |
9 | 5653174243 |
10 | 2221000032 |
11 | a3a773219 |
12 | 51b984b40 |
13 | 2951a5004 |
14 | 170d864b6 |
15 | ceeb913c |
hex | 8461c560 |
2221000032 has 48 divisors (see below), whose sum is σ = 6031171440. Its totient is φ = 714803712.
The previous prime is 2220999997. The next prime is 2221000043. The reversal of 2221000032 is 2300001222.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×22210000322 = 9865682284288002048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2220999981 and 2221000017.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396103 + ... + 401670.
It is an arithmetic number, because the mean of its divisors is an integer number (125649405).
Almost surely, 22221000032 is an apocalyptic number.
It is an amenable number.
2221000032 is an abundant number, since it is smaller than the sum of its proper divisors (3810171408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221000032 is a wasteful number, since it uses less digits than its factorization.
2221000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 797815 (or 797807 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 2221000032 is about 47127.4870112973. The cubic root of 2221000032 is about 1304.7166008699.
Adding to 2221000032 its reverse (2300001222), we get a palindrome (4521001254).
The spelling of 2221000032 in words is "two billion, two hundred twenty-one million, thirty-two", and thus it is an aban number.
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