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223036704 = 253211233061
BaseRepresentation
bin11010100101101…
…00010100100000
3120112200102211200
431102310110200
5424044133304
634044241200
75345531532
oct1522642440
9515612750
10223036704
11104997860
1262840200
13372919a7
142189b852
15148a9e39
hexd4b4520

223036704 has 144 divisors (see below), whose sum is σ = 722240064. Its totient is φ = 64627200.

The previous prime is 223036699. The next prime is 223036711. The reversal of 223036704 is 407630322.

223036704 is digitally balanced in base 3, 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 (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71334 + ... + 74394.

It is an arithmetic number, because the mean of its divisors is an integer number (5015556).

Almost surely, 2223036704 is an apocalyptic number.

223036704 is a gapful number since it is divisible by the number (24) 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 223036704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361120032).

223036704 is an abundant number, since it is smaller than the sum of its proper divisors (499203360).

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

223036704 is a wasteful number, since it uses less digits than its factorization.

223036704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 223036704 is about 14934.4134133216. The cubic root of 223036704 is about 606.4459678374.

The spelling of 223036704 in words is "two hundred twenty-three million, thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2208 2277 3036 3061 3168 3312 4048 4554 6072 6122 6624 8096 9108 9183 12144 12244 18216 18366 24288 24488 27549 33671 36432 36732 48976 55098 67342 70403 72864 73464 97952 101013 110196 134684 140806 146928 202026 211209 220392 269368 281612 293856 303039 404052 422418 440784 538736 563224 606078 633627 774433 808104 844836 881568 1077472 1126448 1212156 1267254 1548866 1616208 1689672 2252896 2323299 2424312 2534508 3097732 3232416 3379344 4646598 4848624 5069016 6195464 6758688 6969897 9293196 9697248 10138032 12390928 13939794 18586392 20276064 24781856 27879588 37172784 55759176 74345568 111518352 223036704