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223363712 = 27111312203
BaseRepresentation
bin11010101000001…
…00001010000000
3120120022001102002
431110010022000
5424140114322
634055243132
75351363105
oct1524041200
9516261362
10223363712
111050a0510
12629794a8
13373777a0
1421944aac
1514921c92
hexd504280

223363712 has 64 divisors (see below), whose sum is σ = 522819360. Its totient is φ = 93711360.

The previous prime is 223363681. The next prime is 223363717. The reversal of 223363712 is 217363322.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (223363717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12203 + ... + 24405.

Almost surely, 2223363712 is an apocalyptic number.

223363712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

223363712 is the 12203-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261409680).

223363712 is an abundant number, since it is smaller than the sum of its proper divisors (299455648).

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

223363712 is a wasteful number, since it uses less digits than its factorization.

223363712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12241 (or 12229 counting only the distinct ones).

The product of its digits is 9072, while the sum is 29.

The square root of 223363712 is about 14945.3575400524. The cubic root of 223363712 is about 606.7422058389.

The spelling of 223363712 in words is "two hundred twenty-three million, three hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 12203 18304 24406 48812 97624 134233 158639 195248 268466 317278 390496 536932 634556 780992 1073864 1269112 1561984 1745029 2147728 2538224 3490058 4295456 5076448 6980116 8590912 10152896 13960232 17181824 20305792 27920464 55840928 111681856 223363712