Search a number
-
+
223932940 = 225721120773
BaseRepresentation
bin11010101100011…
…11001000001100
3120121100222020121
431112033020030
5424311323230
634115354324
75356253500
oct1526171014
9517328217
10223932940
1110544a150
1262bb29a4
13375168ca
1421a52300
15149d577a
hexd58f20c

223932940 has 72 divisors (see below), whose sum is σ = 596795472. Its totient is φ = 69793920.

The previous prime is 223932931. The next prime is 223932941. The reversal of 223932940 is 49239322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 223932896 and 223932905.

It is not an unprimeable number, because it can be changed into a prime (223932941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 394 + ... + 21166.

It is an arithmetic number, because the mean of its divisors is an integer number (8288826).

Almost surely, 2223932940 is an apocalyptic number.

223932940 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 223932940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298397736).

223932940 is an abundant number, since it is smaller than the sum of its proper divisors (372862532).

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

223932940 is a wasteful number, since it uses less digits than its factorization.

223932940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 223932940 is about 14964.3890620366. The cubic root of 223932940 is about 607.2571830713.

The spelling of 223932940 in words is "two hundred twenty-three million, nine hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 20773 41546 83092 103865 145411 207730 228503 290822 415460 457006 581644 727055 914012 1017877 1142515 1454110 1599521 2035754 2285030 2908220 3199042 4071508 4570060 5089385 6398084 7997605 10178770 11196647 15995210 20357540 22393294 31990420 44786588 55983235 111966470 223932940