Base | Representation |
---|---|
bin | 10100101100100001… |
… | …000010000000000000 |
3 | 2010100200000222000000 |
4 | 110230201002000000 |
5 | 331002223133203 |
6 | 14113012000000 |
7 | 1414450162521 |
oct | 245441020000 |
9 | 63320028000 |
10 | 22221692928 |
11 | 9473625886 |
12 | 4382000000 |
13 | 2131a63136 |
14 | 110b3ac848 |
15 | 8a0d204a3 |
hex | 52c842000 |
22221692928 has 294 divisors, whose sum is σ = 67740739677. Its totient is φ = 7285800960.
The previous prime is 22221692921. The next prime is 22221692939. The reversal of 22221692928 is 82929612222.
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 2 ways, for example, as 15052345344 + 7169347584 = 122688^2 + 84672^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=105408.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (22221692921) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 364290018 + ... + 364290078.
Almost surely, 222221692928 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22221692928
22221692928 is an abundant number, since it is smaller than the sum of its proper divisors (45519046749).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22221692928 is an frugal number, since it uses more digits than its factorization.
22221692928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 166 (or 66 counting only the distinct ones).
The product of its digits is 248832, while the sum is 45.
The spelling of 22221692928 in words is "twenty-two billion, two hundred twenty-one million, six hundred ninety-two thousand, nine hundred twenty-eight".
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