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223032012 = 223723671723
BaseRepresentation
bin11010100101100…
…11001011001100
3120112200012101220
431102303023030
5424044011022
634044203340
75345512050
oct1522631314
9515605356
10223032012
11104994285
1262839550
133728c808
1421899c60
15148a885c
hexd4b32cc

223032012 has 96 divisors (see below), whose sum is σ = 630239232. Its totient is φ = 60008256.

The previous prime is 223031987. The next prime is 223032023. The reversal of 223032012 is 210230322.

223032012 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 223031982 and 223032000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128583 + ... + 130305.

It is an arithmetic number, because the mean of its divisors is an integer number (6564992).

Almost surely, 2223032012 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 223032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315119616).

223032012 is an abundant number, since it is smaller than the sum of its proper divisors (407207220).

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

223032012 is a wasteful number, since it uses less digits than its factorization.

223032012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223032012 is about 14934.2563256427. The cubic root of 223032012 is about 606.4417152272.

Adding to 223032012 its reverse (210230322), we get a palindrome (433262334).

The spelling of 223032012 in words is "two hundred twenty-three million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 67 69 84 92 134 138 161 201 268 276 322 402 469 483 644 804 938 966 1407 1541 1723 1876 1932 2814 3082 3446 4623 5169 5628 6164 6892 9246 10338 10787 12061 18492 20676 21574 24122 32361 36183 39629 43148 48244 64722 72366 79258 115441 118887 129444 144732 158516 230882 237774 277403 346323 461764 475548 554806 692646 808087 832209 1109612 1385292 1616174 1664418 2424261 2655143 3232348 3328836 4848522 5310286 7965429 9697044 10620572 15930858 18586001 31861716 37172002 55758003 74344004 111516006 223032012