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223830984 = 233132333079
BaseRepresentation
bin11010101011101…
…10001111001000
3120121011210101110
431111312033020
5424300042414
634113250320
75355350316
oct1525661710
9517153343
10223830984
1110538a593
1262b639a0
13374ac390
1421a270b6
15149b5459
hexd5763c8

223830984 has 64 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 68553216.

The previous prime is 223830973. The next prime is 223831081. The reversal of 223830984 is 489038322.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 71157 + ... + 74235.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450).

Almost surely, 2223830984 is an apocalyptic number.

223830984 is a gapful number since it is divisible by the number (24) 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 223830984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

223830984 is an abundant number, since it is smaller than the sum of its proper divisors (381573816).

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

223830984 is a wasteful number, since it uses less digits than its factorization.

223830984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 223830984 is about 14960.9820533279. The cubic root of 223830984 is about 607.1650082859.

The spelling of 223830984 in words is "two hundred twenty-three million, eight hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 233 312 466 699 932 1398 1864 2796 3029 3079 5592 6058 6158 9087 9237 12116 12316 18174 18474 24232 24632 36348 36948 40027 72696 73896 80054 120081 160108 240162 320216 480324 717407 960648 1434814 2152221 2869628 4304442 5739256 8608884 9326291 17217768 18652582 27978873 37305164 55957746 74610328 111915492 223830984