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223858980 = 2232559107197
BaseRepresentation
bin11010101011111…
…01000100100100
3120121020012210100
431111331010210
5424301441410
634114024100
75355525042
oct1525750444
9517205710
10223858980
111053a9624
1262b78030
13374bc047
1421a33392
15149bd8c0
hexd57d124

223858980 has 144 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 57840384.

The previous prime is 223858949. The next prime is 223859021. The reversal of 223858980 is 89858322.

223858980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2238589802 = 100225685853280800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136242 + ... + 1136438.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2223858980 is an apocalyptic number.

223858980 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 223858980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

223858980 is an abundant number, since it is smaller than the sum of its proper divisors (476680860).

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

223858980 is a wasteful number, since it uses less digits than its factorization.

223858980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 223858980 is about 14961.9176578405. The cubic root of 223858980 is about 607.1903212589.

The spelling of 223858980 in words is "two hundred twenty-three million, eight hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 107 118 177 180 197 214 236 295 321 354 394 428 531 535 590 591 642 708 788 885 963 985 1062 1070 1180 1182 1284 1605 1770 1773 1926 1970 2124 2140 2364 2655 2955 3210 3540 3546 3852 3940 4815 5310 5910 6313 6420 7092 8865 9630 10620 11623 11820 12626 17730 18939 19260 21079 23246 25252 31565 34869 35460 37878 42158 46492 56817 58115 63130 63237 69738 75756 84316 94695 104607 105395 113634 116230 126260 126474 139476 174345 189390 189711 209214 210790 227268 232460 252948 284085 316185 348690 378780 379422 418428 421580 523035 568170 632370 697380 758844 948555 1046070 1136340 1243661 1264740 1897110 2092140 2487322 3730983 3794220 4974644 6218305 7461966 11192949 12436610 14923932 18654915 22385898 24873220 37309830 44771796 55964745 74619660 111929490 223858980