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223300720 = 24543139467
BaseRepresentation
bin11010100111101…
…00110001110000
3120120011212000001
431103310301300
5424131110340
634054035344
75351011336
oct1523646160
9516155001
10223300720
11105058155
1262948b54
1337354c06
1421929b56
151490d29a
hexd4f4c70

223300720 has 80 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 86429952.

The previous prime is 223300717. The next prime is 223300739. The reversal of 223300720 is 27003322.

It is a happy number.

223300720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477927 + ... + 478393.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2223300720 is an apocalyptic number.

223300720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223300720 is the 7472-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

223300720 is an abundant number, since it is smaller than the sum of its proper divisors (312914960).

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

223300720 is a wasteful number, since it uses less digits than its factorization.

223300720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 223300720 is about 14943.2499811788. The cubic root of 223300720 is about 606.6851636003.

The spelling of 223300720 in words is "two hundred twenty-three million, three hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 139 172 215 278 344 430 467 556 688 695 860 934 1112 1390 1720 1868 2224 2335 2780 3440 3736 4670 5560 5977 7472 9340 11120 11954 18680 20081 23908 29885 37360 40162 47816 59770 64913 80324 95632 100405 119540 129826 160648 200810 239080 259652 321296 324565 401620 478160 519304 649130 803240 1038608 1298260 1606480 2596520 2791259 5193040 5582518 11165036 13956295 22330072 27912590 44660144 55825180 111650360 223300720