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223887468 = 22372675683
BaseRepresentation
bin11010101100001…
…00000001101100
3120121021122212110
431112010001230
5424303344333
634114404020
75356004100
oct1526040154
9517248773
10223887468
11105418a72
1262b90610
13374cbcbc
1421a3d900
15149c7063
hexd58406c

223887468 has 72 divisors (see below), whose sum is σ = 616873152. Its totient is φ = 63002016.

The previous prime is 223887457. The next prime is 223887473. The reversal of 223887468 is 864788322.

It is a happy number.

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, 36555 + ... + 42237.

Almost surely, 2223887468 is an apocalyptic number.

223887468 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 223887468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308436576).

223887468 is an abundant number, since it is smaller than the sum of its proper divisors (392985684).

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

223887468 is a wasteful number, since it uses less digits than its factorization.

223887468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5762 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 223887468 is about 14962.8696445568. The cubic root of 223887468 is about 607.2160769141.

The spelling of 223887468 in words is "two hundred twenty-three million, eight hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2814 3283 5628 5683 6566 9849 11366 13132 17049 19698 22732 34098 39396 39781 68196 79562 119343 159124 238686 278467 380761 477372 556934 761522 835401 1113868 1142283 1523044 1670802 2284566 2665327 3341604 4569132 5330654 7995981 10661308 15991962 18657289 31983924 37314578 55971867 74629156 111943734 223887468