Base | Representation |
---|---|
bin | 11010101100111… |
… | …00011111100000 |
3 | 120121110202100000 |
4 | 31112130133200 |
5 | 424320101210 |
6 | 34120500000 |
7 | 5356602210 |
oct | 1526343740 |
9 | 517422300 |
10 | 223987680 |
11 | 105487294 |
12 | 6301a600 |
13 | 375357b7 |
14 | 21a68240 |
15 | 149e6ac0 |
hex | d59c7e0 |
223987680 has 288 divisors, whose sum is σ = 907006464. Its totient is φ = 51134976.
The previous prime is 223987651. The next prime is 223987711. The reversal of 223987680 is 86789322.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271749 + ... + 272571.
It is an arithmetic number, because the mean of its divisors is an integer number (3149328).
Almost surely, 2223987680 is an apocalyptic number.
223987680 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 223987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453503232).
223987680 is an abundant number, since it is smaller than the sum of its proper divisors (683018784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223987680 is an equidigital number, since it uses as much as digits as its factorization.
223987680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 860 (or 840 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The square root of 223987680 is about 14966.2179591238. The cubic root of 223987680 is about 607.3066600114.
The spelling of 223987680 in words is "two hundred twenty-three million, nine hundred eighty-seven thousand, six hundred eighty".
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