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223223808 = 213331293
BaseRepresentation
bin11010100111000…
…10000000000000
3120120000221111110
431103202000000
5424121130213
634052243320
75350241163
oct1523420000
9516027443
10223223808
11105005395
1262910540
1337328bc2
1421909ada
15148e55c3
hexd4e2000

223223808 has 112 divisors (see below), whose sum is σ = 616525056. Its totient is φ = 71761920.

The previous prime is 223223807. The next prime is 223223857. The reversal of 223223808 is 808322322.

It is a super-3 number, since 3×2232238083 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223223807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761710 + ... + 762002.

It is an arithmetic number, because the mean of its divisors is an integer number (5504688).

Almost surely, 2223223808 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 223223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308262528).

223223808 is an abundant number, since it is smaller than the sum of its proper divisors (393301248).

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

223223808 is an equidigital number, since it uses as much as digits as its factorization.

223223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 223223808 is about 14940.6762899141. The cubic root of 223223808 is about 606.6155015954.

The spelling of 223223808 in words is "two hundred twenty-three million, two hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 293 372 384 496 512 586 744 768 879 992 1024 1172 1488 1536 1758 1984 2048 2344 2976 3072 3516 3968 4096 4688 5952 6144 7032 7936 8192 9083 9376 11904 12288 14064 15872 18166 18752 23808 24576 27249 28128 31744 36332 37504 47616 54498 56256 63488 72664 75008 95232 108996 112512 126976 145328 150016 190464 217992 225024 253952 290656 300032 380928 435984 450048 581312 600064 761856 871968 900096 1162624 1200128 1743936 1800192 2325248 2400256 3487872 3600384 4650496 6975744 7200768 9300992 13951488 18601984 27902976 37203968 55805952 74407936 111611904 223223808