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223276240 = 24511349727
BaseRepresentation
bin11010100111011…
…10110011010000
3120120010121102101
431103232303100
5424124314430
634053330144
75350550065
oct1523566320
9516117371
10223276240
11105040820
1262936954
1337346a25
1421920c6c
1514905dca
hexd4eecd0

223276240 has 80 divisors (see below), whose sum is σ = 568713600. Its totient is φ = 80847360.

The previous prime is 223276231. The next prime is 223276247. The reversal of 223276240 is 42672322.

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

It is a super-3 number, since 3×2232762403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223276199 and 223276208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223276247) 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, 306757 + ... + 307483.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2223276240 is an apocalyptic number.

223276240 is a gapful number since it is divisible by the number (20) 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 223276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

223276240 is an abundant number, since it is smaller than the sum of its proper divisors (345437360).

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

223276240 is a wasteful number, since it uses less digits than its factorization.

223276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 223276240 is about 14942.4308598032. The cubic root of 223276240 is about 606.6629929067.

The spelling of 223276240 in words is "two hundred twenty-three million, two hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 349 440 698 727 880 1396 1454 1745 2792 2908 3490 3635 3839 5584 5816 6980 7270 7678 7997 11632 13960 14540 15356 15994 19195 27920 29080 30712 31988 38390 39985 58160 61424 63976 76780 79970 127952 153560 159940 253723 307120 319880 507446 639760 1014892 1268615 2029784 2537230 2790953 4059568 5074460 5581906 10148920 11163812 13954765 20297840 22327624 27909530 44655248 55819060 111638120 223276240