Base | Representation |
---|---|
bin | 11010100111100… |
… | …11001010000000 |
3 | 120120011111220010 |
4 | 31103303022000 |
5 | 424130402310 |
6 | 34053544520 |
7 | 5350653102 |
oct | 1523631200 |
9 | 516144803 |
10 | 223294080 |
11 | 105053169 |
12 | 62945140 |
13 | 37351b99 |
14 | 21927572 |
15 | 1490b320 |
hex | d4f3280 |
223294080 has 128 divisors (see below), whose sum is σ = 749332800. Its totient is φ = 56401920.
The previous prime is 223294063. The next prime is 223294081. The reversal of 223294080 is 80492322.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (223294081) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33420 + ... + 39540.
Almost surely, 2223294080 is an apocalyptic number.
223294080 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 223294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374666400).
223294080 is an abundant number, since it is smaller than the sum of its proper divisors (526038720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223294080 is a wasteful number, since it uses less digits than its factorization.
223294080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6162 (or 6150 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 223294080 is about 14943.0278056356. The cubic root of 223294080 is about 606.6791501410.
The spelling of 223294080 in words is "two hundred twenty-three million, two hundred ninety-four thousand, eighty".
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