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223113000 = 23353116761
BaseRepresentation
bin11010100110001…
…10111100101000
3120112211022111110
431103012330220
5424104104000
634050030320
75346300135
oct1523067450
9515738443
10223113000
11104a3a110
12628783a0
13372ba636
14218bb58c
15148c2850
hexd4c6f28

223113000 has 128 divisors (see below), whose sum is σ = 759507840. Its totient is φ = 54080000.

The previous prime is 223112969. The next prime is 223113001. The reversal of 223113000 is 311322.

It is a happy number.

223113000 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 3×2231130003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (223113001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29620 + ... + 36380.

It is an arithmetic number, because the mean of its divisors is an integer number (5933655).

Almost surely, 2223113000 is an apocalyptic number.

223113000 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 223113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379753920).

223113000 is an abundant number, since it is smaller than the sum of its proper divisors (536394840).

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

223113000 is a wasteful number, since it uses less digits than its factorization.

223113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 223113000 is about 14936.9675637326. The cubic root of 223113000 is about 606.5151106075.

Adding to 223113000 its reverse (311322), we get a palindrome (223424322).

The spelling of 223113000 in words is "two hundred twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 6761 8250 11000 13522 16500 20283 27044 33000 33805 40566 54088 67610 74371 81132 101415 135220 148742 162264 169025 202830 223113 270440 297484 338050 371855 405660 446226 507075 594968 676100 743710 811320 845125 892452 1014150 1115565 1352200 1487420 1690250 1784904 1859275 2028300 2231130 2535375 2974840 3380500 3718550 4056600 4462260 5070750 5577825 6761000 7437100 8924520 9296375 10141500 11155650 14874200 18592750 20283000 22311300 27889125 37185500 44622600 55778250 74371000 111556500 223113000