| Base | Representation |
|---|---|
| bin | 11010100111100… |
| … | …11000011101000 |
| 3 | 120120011111100000 |
| 4 | 31103303003220 |
| 5 | 424130344142 |
| 6 | 34053543000 |
| 7 | 5350651650 |
| oct | 1523630350 |
| 9 | 516144300 |
| 10 | 223293672 |
| 11 | 105052928 |
| 12 | 62944a60 |
| 13 | 37351944 |
| 14 | 21927360 |
| 15 | 1490b14c |
| hex | d4f30e8 |
223293672 has 192 divisors, whose sum is σ = 731203200. Its totient is φ = 62519040.
The previous prime is 223293671. The next prime is 223293673. The reversal of 223293672 is 276392322.
223293672 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 (223293671) and next prime (223293673).
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (223293671) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829954 + ... + 830222.
It is an arithmetic number, because the mean of its divisors is an integer number (3808350).
Almost surely, 2223293672 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 223293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).
223293672 is an abundant number, since it is smaller than the sum of its proper divisors (507909528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223293672 is a wasteful number, since it uses less digits than its factorization.
223293672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 358 (or 342 counting only the distinct ones).
The product of its digits is 54432, while the sum is 36.
The square root of 223293672 is about 14943.0141537777. The cubic root of 223293672 is about 606.6787806353.
The spelling of 223293672 in words is "two hundred twenty-three million, two hundred ninety-three thousand, six hundred seventy-two".
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