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223280712 = 23345872
BaseRepresentation
bin11010100111011…
…11111001001000
3120120010211120000
431103233321020
5424124440322
634053403000
75350566114
oct1523577110
9516124500
10223280712
11105044116
1262939460
1337348a85
1421922744
15149073ac
hexd4efe48

223280712 has 60 divisors (see below), whose sum is σ = 626459955. Its totient is φ = 74300112.

The previous prime is 223280689. The next prime is 223280747. The reversal of 223280712 is 217082322.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 111640356 + 111640356 = 10566^2 + 10566^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10566.

It is a super-3 number, since 3×2232807123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 380083 + ... + 380669.

Almost surely, 2223280712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223280712

223280712 is an abundant number, since it is smaller than the sum of its proper divisors (403179243).

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

223280712 is an frugal number, since it uses more digits than its factorization.

223280712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 223280712 is about 14942.5805000341. The cubic root of 223280712 is about 606.6670431642.

It can be divided in two parts, 2232 and 80712, that added together give a square (82944 = 2882).

The spelling of 223280712 in words is "two hundred twenty-three million, two hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 587 648 1174 1761 2348 3522 4696 5283 7044 10566 14088 15849 21132 31698 42264 47547 63396 95094 126792 190188 344569 380376 689138 1033707 1378276 2067414 2756552 3101121 4134828 6202242 8269656 9303363 12404484 18606726 24808968 27910089 37213452 55820178 74426904 111640356 223280712