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223563340 = 225711132859
BaseRepresentation
bin11010101001101…
…00111001001100
3120120200012020201
431110310321030
5424213011330
634103423244
75353154110
oct1524647114
9516605221
10223563340
111052174a0
1262a54b24
1337417600
1421997740
1514960eca
hexd534e4c

223563340 has 144 divisors (see below), whose sum is σ = 634556160. Its totient is φ = 64247040.

The previous prime is 223563337. The next prime is 223563341. The reversal of 223563340 is 43365322.

223563340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 223563299 and 223563308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223563341) 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, 259831 + ... + 260689.

It is an arithmetic number, because the mean of its divisors is an integer number (4406640).

Almost surely, 2223563340 is an apocalyptic number.

223563340 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 223563340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317278080).

223563340 is an abundant number, since it is smaller than the sum of its proper divisors (410992820).

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

223563340 is a wasteful number, since it uses less digits than its factorization.

223563340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 223563340 is about 14952.0346441546. The cubic root of 223563340 is about 606.9229076279.

The spelling of 223563340 in words is "two hundred twenty-three million, five hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 859 910 1001 1183 1430 1540 1690 1718 1820 1859 2002 2366 2860 3380 3436 3718 4004 4295 4732 5005 5915 6013 7436 8590 9295 9449 10010 11167 11830 12026 13013 17180 18590 18898 20020 22334 23660 24052 26026 30065 37180 37796 44668 47245 52052 55835 60130 65065 66143 78169 94490 111670 120260 122837 130130 132286 145171 156338 188980 223340 245674 260260 264572 290342 312676 330715 390845 491348 580684 614185 661430 725855 781690 859859 1016197 1228370 1322860 1451710 1563380 1596881 1719718 2032394 2456740 2903420 3193762 3439436 4064788 4299295 5080985 6387524 7984405 8598590 10161970 11178167 15968810 17197180 20323940 22356334 31937620 44712668 55890835 111781670 223563340