Base | Representation |
---|---|
bin | 1100110010000… |
… | …01100101001000 |
3 | 21110202111210212 |
4 | 12121001211020 |
5 | 204422121433 |
6 | 14350100252 |
7 | 2441245400 |
oct | 631014510 |
9 | 243674725 |
10 | 107223368 |
11 | 5558555a |
12 | 2baaa688 |
13 | 192a25a5 |
14 | 10351800 |
15 | 962ed48 |
hex | 6641948 |
107223368 has 36 divisors (see below), whose sum is σ = 234315315. Its totient is φ = 45865008.
The previous prime is 107223367. The next prime is 107223371. The reversal of 107223368 is 863322701.
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 only one way, i.e., 53611684 + 53611684 = 7322^2 + 7322^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=7322.
It is a super-2 number, since 2×1072233682 = 22993701290526848, which contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (107223367) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204755 + ... + 205277.
Almost surely, 2107223368 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 107223368
107223368 is an abundant number, since it is smaller than the sum of its proper divisors (127091947).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107223368 is an frugal number, since it uses more digits than its factorization.
107223368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1066 (or 532 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 32.
The square root of 107223368 is about 10354.8717036958. The cubic root of 107223368 is about 475.0760624269.
Multiplying 107223368 by its sum of digits (32), we get a square (3431147776 = 585762).
The spelling of 107223368 in words is "one hundred seven million, two hundred twenty-three thousand, three hundred sixty-eight".
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