Base | Representation |
---|---|
bin | 10100110100111011… |
… | …000101100110001000 |
3 | 2010201111102221202102 |
4 | 110310323011212020 |
5 | 331244330204003 |
6 | 14135011052532 |
7 | 1421112110000 |
oct | 246473054610 |
9 | 63644387672 |
10 | 22362741128 |
11 | 9536203442 |
12 | 44012a1148 |
13 | 2155049600 |
14 | 1122007000 |
15 | 8ad3d2588 |
hex | 534ec5988 |
22362741128 has 180 divisors, whose sum is σ = 53613618885. Its totient is φ = 8740210752.
The previous prime is 22362741127. The next prime is 22362741161. The reversal of 22362741128 is 82114726322.
It is a happy number.
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 19120805284 + 3241935844 = 138278^2 + 56938^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=105742.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22362741091 and 22362741100.
It is not an unprimeable number, because it can be changed into a prime (22362741127) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 269430575 + ... + 269430657.
Almost surely, 222362741128 is an apocalyptic number.
22362741128 is a gapful number since it is divisible by the number (28) 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 22362741128
22362741128 is an abundant number, since it is smaller than the sum of its proper divisors (31250877757).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22362741128 is an frugal number, since it uses more digits than its factorization.
22362741128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 226 (or 105 counting only the distinct ones).
The product of its digits is 64512, while the sum is 38.
The spelling of 22362741128 in words is "twenty-two billion, three hundred sixty-two million, seven hundred forty-one thousand, one hundred twenty-eight".
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