| Base | Representation |
|---|---|
| bin | 11101100101110… |
| … | …01010110010000 |
| 3 | 122022002001002220 |
| 4 | 32302321112100 |
| 5 | 1002021114440 |
| 6 | 40344141040 |
| 7 | 6102601365 |
| oct | 1662712620 |
| 9 | 568061086 |
| 10 | 248223120 |
| 11 | 11812a782 |
| 12 | 6b167780 |
| 13 | 3c56c9b2 |
| 14 | 24d7646c |
| 15 | 16bd28d0 |
| hex | ecb9590 |
248223120 has 160 divisors (see below), whose sum is σ = 825697152. Its totient is φ = 61464576.
The previous prime is 248223113. The next prime is 248223127. The reversal of 248223120 is 21322842.
248223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (248223113) and next prime (248223127).
It is a super-2 number, since 2×2482231202 = 123229434605068800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (248223127) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338274 + ... + 339006.
Almost surely, 2248223120 is an apocalyptic number.
248223120 is a gapful number since it is divisible by the number (20) 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 248223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412848576).
248223120 is an abundant number, since it is smaller than the sum of its proper divisors (577474032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248223120 is a wasteful number, since it uses less digits than its factorization.
248223120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 849 (or 843 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 248223120 is about 15755.0982224802. The cubic root of 248223120 is about 628.4644892847.
Adding to 248223120 its reverse (21322842), we get a palindrome (269545962).
The spelling of 248223120 in words is "two hundred forty-eight million, two hundred twenty-three thousand, one hundred twenty".
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