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224042148 = 2232112192707
BaseRepresentation
bin11010101101010…
…01110010100100
3120121120112001100
431112221302210
5424323322043
634122000100
75360220051
oct1526516244
9517515040
10224042148
11105514200
1263046030
1337554525
1421a80028
1514a07cd3
hexd5a9ca4

224042148 has 108 divisors (see below), whose sum is σ = 655498480. Its totient is φ = 64294560.

The previous prime is 224042113. The next prime is 224042179. The reversal of 224042148 is 841240422.

224042148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81411 + ... + 84117.

Almost surely, 2224042148 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 224042148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327749240).

224042148 is an abundant number, since it is smaller than the sum of its proper divisors (431456332).

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

224042148 is a wasteful number, since it uses less digits than its factorization.

224042148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 224042148 is about 14968.0375467193. The cubic root of 224042148 is about 607.3558831030.

The spelling of 224042148 in words is "two hundred twenty-four million, forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 836 1089 1254 1452 1881 2178 2299 2508 2707 3762 4356 4598 5414 6897 7524 8121 9196 10828 13794 16242 20691 24363 27588 29777 32484 41382 48726 51433 59554 82764 89331 97452 102866 119108 154299 178662 205732 267993 308598 327547 357324 462897 535986 565763 617196 655094 925794 982641 1071972 1131526 1310188 1697289 1851588 1965282 2263052 2947923 3394578 3930564 5091867 5895846 6223393 6789156 10183734 11791692 12446786 18670179 20367468 24893572 37340358 56010537 74680716 112021074 224042148