| Base | Representation |
|---|---|
| bin | 11010101111000… |
| … | …01111110000000 |
| 3 | 120122000012200212 |
| 4 | 31113201332000 |
| 5 | 424403203011 |
| 6 | 34130533252 |
| 7 | 5362165655 |
| oct | 1527417600 |
| 9 | 518005625 |
| 10 | 224272256 |
| 11 | 10566107a |
| 12 | 63137228 |
| 13 | 376051a0 |
| 14 | 21addc2c |
| 15 | 14a5108b |
| hex | d5e1f80 |
224272256 has 64 divisors (see below), whose sum is σ = 490432320. Its totient is φ = 101517312.
The previous prime is 224272253. The next prime is 224272261. The reversal of 224272256 is 652272422.
224272256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×2242722562 = 100596089622659072, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (224272253) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86921 + ... + 89463.
It is an arithmetic number, because the mean of its divisors is an integer number (7663005).
Almost surely, 2224272256 is an apocalyptic number.
224272256 is a gapful number since it is divisible by the number (26) 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 224272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216160).
224272256 is an abundant number, since it is smaller than the sum of its proper divisors (266160064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224272256 is a wasteful number, since it uses less digits than its factorization.
224272256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2623 (or 2611 counting only the distinct ones).
The product of its digits is 26880, while the sum is 32.
The square root of 224272256 is about 14975.7222196460. The cubic root of 224272256 is about 607.5637452232.
The spelling of 224272256 in words is "two hundred twenty-four million, two hundred seventy-two thousand, two hundred fifty-six".
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