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223841128 = 23719792663
BaseRepresentation
bin11010101011110…
…00101101101000
3120121012022022011
431111320231220
5424300404003
634113405304
75355422020
oct1525705550
9517168264
10223841128
11105397175
1262b69834
13374b3b94
1421a2aa80
15149b846d
hexd578b68

223841128 has 64 divisors (see below), whose sum is σ = 511488000. Its totient is φ = 89698752.

The previous prime is 223841081. The next prime is 223841131. The reversal of 223841128 is 821148322.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 223841128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82725 + ... + 85387.

It is an arithmetic number, because the mean of its divisors is an integer number (7992000).

Almost surely, 2223841128 is an apocalyptic number.

223841128 is a gapful number since it is divisible by the number (28) 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 223841128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255744000).

223841128 is an abundant number, since it is smaller than the sum of its proper divisors (287646872).

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

223841128 is a wasteful number, since it uses less digits than its factorization.

223841128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2770 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 223841128 is about 14961.3210646654. The cubic root of 223841128 is about 607.1741803685.

The spelling of 223841128 in words is "two hundred twenty-three million, eight hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 79 133 152 158 266 316 532 553 632 1064 1106 1501 2212 2663 3002 4424 5326 6004 10507 10652 12008 18641 21014 21304 37282 42028 50597 74564 84056 101194 149128 202388 210377 354179 404776 420754 708358 841508 1416716 1472639 1683016 2833432 2945278 3997163 5890556 7994326 11781112 15988652 27980141 31977304 55960282 111920564 223841128