Base | Representation |
---|---|
bin | 1100111111101101101… |
… | …1101000100000000000 |
3 | 210100021111012022010112 |
4 | 3033323123220200000 |
5 | 12124214441011323 |
6 | 250322012050452 |
7 | 22062426526151 |
oct | 3177333504000 |
9 | 710244168115 |
10 | 223261657088 |
11 | 86759426498 |
12 | 37329a63a28 |
13 | 18090672902 |
14 | ab3d641928 |
15 | 5c1a71c178 |
hex | 33fb6e8800 |
223261657088 has 108 divisors (see below), whose sum is σ = 457317482895. Its totient is φ = 108968624128.
The previous prime is 223261657061. The next prime is 223261657153. The reversal of 223261657088 is 880756162322.
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 5 ways, for example, as 221607445504 + 1654211584 = 470752^2 + 40672^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=334112.
It is a super-3 number, since 3×2232616570883 (a number of 35 digits) contains 333 as substring.
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1133307806 + ... + 1133308002.
Almost surely, 2223261657088 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 223261657088
223261657088 is an abundant number, since it is smaller than the sum of its proper divisors (234055825807).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223261657088 is an frugal number, since it uses more digits than its factorization.
223261657088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 522 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 1935360, while the sum is 50.
Multiplying 223261657088 by its sum of digits (50), we get a square (11163082854400 = 33411202).
The spelling of 223261657088 in words is "two hundred twenty-three billion, two hundred sixty-one million, six hundred fifty-seven thousand, eighty-eight".
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