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223074768 = 24374116193
BaseRepresentation
bin11010100101111…
…01100111010000
3120112202101001110
431102331213100
5424101343033
634045133320
75346050520
oct1522754720
9515671043
10223074768
11104a13414
126285a240
13372a6107
14218ab680
15148b6363
hexd4bd9d0

223074768 has 80 divisors (see below), whose sum is σ = 674706816. Its totient is φ = 62177280.

The previous prime is 223074767. The next prime is 223074793. The reversal of 223074768 is 867470322.

It is a super-3 number, since 3×2230747683 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223074767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5680 + ... + 21872.

Almost surely, 2223074768 is an apocalyptic number.

223074768 is a gapful number since it is divisible by the number (28) 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 223074768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337353408).

223074768 is an abundant number, since it is smaller than the sum of its proper divisors (451632048).

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

223074768 is a wasteful number, since it uses less digits than its factorization.

223074768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252 (or 16246 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 223074768 is about 14935.6877310688. The cubic root of 223074768 is about 606.4804650686.

The spelling of 223074768 in words is "two hundred twenty-three million, seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 16193 32386 48579 64772 97158 113351 129544 194316 226702 259088 340053 388632 453404 663913 680106 777264 906808 1327826 1360212 1813616 1991739 2655652 2720424 3983478 4647391 5311304 5440848 7966956 9294782 10622608 13942173 15933912 18589564 27884346 31867824 37179128 55768692 74358256 111537384 223074768