Search a number
-
+
223781404 = 227111779541
BaseRepresentation
bin11010101011010…
…10001000011100
3120121002021101011
431111222020130
5424242001104
634112225004
75355052630
oct1525521034
9517067334
10223781404
11105356310
1262b3b164
1337492942
1421a12dc0
15149a5904
hexd56a21c

223781404 has 96 divisors (see below), whose sum is σ = 524482560. Its totient is φ = 80870400.

The previous prime is 223781399. The next prime is 223781413. The reversal of 223781404 is 404187322.

It is a super-2 number, since 2×2237814042 = 100156233552422432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413374 + ... + 413914.

It is an arithmetic number, because the mean of its divisors is an integer number (5463360).

Almost surely, 2223781404 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 223781404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262241280).

223781404 is an abundant number, since it is smaller than the sum of its proper divisors (300701156).

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

223781404 is a wasteful number, since it uses less digits than its factorization.

223781404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 223781404 is about 14959.3249847712. The cubic root of 223781404 is about 607.1201746596.

The spelling of 223781404 in words is "two hundred twenty-three million, seven hundred eighty-one thousand, four hundred four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 79 119 154 158 187 238 308 316 374 476 541 553 748 869 1082 1106 1309 1343 1738 2164 2212 2618 2686 3476 3787 5236 5372 5951 6083 7574 9197 9401 11902 12166 14773 15148 18394 18802 23804 24332 29546 36788 37604 41657 42739 59092 64379 83314 85478 101167 103411 128758 166628 170956 202334 206822 257516 299173 404668 413644 470129 598346 708169 726563 940258 1196692 1416338 1453126 1880516 2832676 2906252 3290903 5085941 6581806 7992193 10171882 13163612 15984386 20343764 31968772 55945351 111890702 223781404