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223774980 = 2235112132371
BaseRepresentation
bin11010101011010…
…00100100000100
3120121001221120020
431111220210010
5424241244410
634112135140
75355025122
oct1525504404
9517057506
10223774980
11105351500
1262b374b0
133748ca40
1421a10912
15149a3a70
hexd568904

223774980 has 144 divisors (see below), whose sum is σ = 741999552. Its totient is φ = 50054400.

The previous prime is 223774979. The next prime is 223774987. The reversal of 223774980 is 89477322.

223774980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223774987) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 93195 + ... + 95565.

Almost surely, 2223774980 is an apocalyptic number.

223774980 is a gapful number since it is divisible by the number (20) 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 223774980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370999776).

223774980 is an abundant number, since it is smaller than the sum of its proper divisors (518224572).

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

223774980 is a wasteful number, since it uses less digits than its factorization.

223774980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 223774980 is about 14959.1102676596. The cubic root of 223774980 is about 607.1143651550.

The spelling of 223774980 in words is "two hundred twenty-three million, seven hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2371 2420 2860 3146 3630 4290 4719 4742 6292 7113 7260 7865 8580 9438 9484 11855 14226 15730 18876 23595 23710 26081 28452 30823 31460 35565 47190 47420 52162 61646 71130 78243 92469 94380 104324 123292 130405 142260 154115 156486 184938 260810 286891 308230 312972 339053 369876 391215 462345 521620 573782 616460 678106 782430 860673 924690 1017159 1147564 1356212 1434455 1564860 1695265 1721346 1849380 2034318 2868910 3390530 3442692 3729583 4068636 4303365 5085795 5737820 6781060 7459166 8606730 10171590 11188749 14918332 17213460 18647915 20343180 22377498 37295830 44754996 55943745 74591660 111887490 223774980