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223104440 = 23513487881
BaseRepresentation
bin11010100110001…
…00110110111000
3120112210212202102
431103010312320
5424103320230
634045522532
75346233156
oct1523046670
9515725672
10223104440
11104a33739
1262873448
13372b6780
14218b83d6
15148c0045
hexd4c4db8

223104440 has 64 divisors (see below), whose sum is σ = 542324160. Its totient is φ = 82114560.

The previous prime is 223104407. The next prime is 223104443. The reversal of 223104440 is 44401322.

223104440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231044403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223104443) 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, 252800 + ... + 253680.

It is an arithmetic number, because the mean of its divisors is an integer number (8473815).

Almost surely, 2223104440 is an apocalyptic number.

223104440 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 223104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271162080).

223104440 is an abundant number, since it is smaller than the sum of its proper divisors (319219720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223104440 is a wasteful number, since it uses less digits than its factorization.

223104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223104440 is about 14936.6810235741. The cubic root of 223104440 is about 606.5073539464.

Adding to 223104440 its reverse (44401322), we get a palindrome (267505762).

The spelling of 223104440 in words is "two hundred twenty-three million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 487 520 881 974 1762 1948 2435 3524 3896 4405 4870 6331 7048 8810 9740 11453 12662 17620 19480 22906 25324 31655 35240 45812 50648 57265 63310 91624 114530 126620 229060 253240 429047 458120 858094 1716188 2145235 3432376 4290470 5577611 8580940 11155222 17161880 22310444 27888055 44620888 55776110 111552220 223104440