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223199808 = 26313223401
BaseRepresentation
bin11010100110111…
…00001001000000
3120112222201120120
431103130021000
5424114343213
634051540240
75350111206
oct1523341100
9515881516
10223199808
11104a99357
12628ba680
133731acc0
1421901076
15148dd423
hexd4dc240

223199808 has 112 divisors (see below), whose sum is σ = 640421376. Its totient is φ = 68198400.

The previous prime is 223199759. The next prime is 223199831. The reversal of 223199808 is 808991322.

It is a super-3 number, since 3×2231998083 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223199808.

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 15 ways as a sum of consecutive naturals, for example, 556408 + ... + 556808.

It is an arithmetic number, because the mean of its divisors is an integer number (5718048).

Almost surely, 2223199808 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 223199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320210688).

223199808 is an abundant number, since it is smaller than the sum of its proper divisors (417221568).

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

223199808 is a wasteful number, since it uses less digits than its factorization.

223199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 223199808 is about 14939.8730918305. The cubic root of 223199808 is about 606.5937606441.

The spelling of 223199808 in words is "two hundred twenty-three million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 223 312 401 416 446 624 669 802 832 892 1203 1248 1338 1604 1784 2406 2496 2676 2899 3208 3568 4812 5213 5352 5798 6416 7136 8697 9624 10426 10704 11596 12832 14272 15639 17394 19248 20852 21408 23192 25664 31278 34788 38496 41704 42816 46384 62556 69576 76992 83408 89423 92768 125112 139152 166816 178846 185536 250224 268269 278304 333632 357692 500448 536538 556608 715384 1000896 1073076 1162499 1430768 2146152 2324998 2861536 3487497 4292304 4649996 5723072 6974994 8584608 9299992 13949988 17169216 18599984 27899976 37199968 55799952 74399936 111599904 223199808