Base | Representation |
---|---|
bin | 11010101010111… |
… | …10110111010000 |
3 | 120120222221001200 |
4 | 31111132313100 |
5 | 424234011443 |
6 | 34111231200 |
7 | 5354501232 |
oct | 1525366720 |
9 | 516887050 |
10 | 223735248 |
11 | 105324670 |
12 | 62b18500 |
13 | 37477929 |
14 | 21a00252 |
15 | 14996dd3 |
hex | d55edd0 |
223735248 has 120 divisors (see below), whose sum is σ = 688723776. Its totient is φ = 67238400.
The previous prime is 223735247. The next prime is 223735273. The reversal of 223735248 is 842537322.
It is a super-2 number, since 2×2237352482 = 100114922395243008, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223735243) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216493 + ... + 217523.
Almost surely, 2223735248 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 223735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344361888).
223735248 is an abundant number, since it is smaller than the sum of its proper divisors (464988528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223735248 is a wasteful number, since it uses less digits than its factorization.
223735248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1193 (or 1184 counting only the distinct ones).
The product of its digits is 80640, while the sum is 36.
The square root of 223735248 is about 14957.7821885465. The cubic root of 223735248 is about 607.0784312960.
The spelling of 223735248 in words is "two hundred twenty-three million, seven hundred thirty-five thousand, two hundred forty-eight".
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