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238054230 = 232517192431
BaseRepresentation
bin11100011000001…
…10101101010110
3121120221102000100
432030012231112
5441420213410
635342154530
75620266441
oct1614065526
9546842010
10238054230
11112414737
1267882a46
133a41c2bb
142388a658
1515d748c0
hexe306b56

238054230 has 144 divisors (see below), whose sum is σ = 693261504. Its totient is φ = 56471040.

The previous prime is 238054169. The next prime is 238054253. The reversal of 238054230 is 32450832.

238054230 is a `hidden beast` number, since 2 + 380 + 54 + 230 = 666.

238054230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 238054194 and 238054203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552115 + ... + 552545.

It is an arithmetic number, because the mean of its divisors is an integer number (4814316).

Almost surely, 2238054230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238054230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346630752).

238054230 is an abundant number, since it is smaller than the sum of its proper divisors (455207274).

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

238054230 is a wasteful number, since it uses less digits than its factorization.

238054230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 238054230 is about 15429.0061248287. The cubic root of 238054230 is about 619.7625087630.

The spelling of 238054230 in words is "two hundred thirty-eight million, fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 361 431 510 570 646 722 765 855 862 969 1083 1293 1530 1615 1710 1805 1938 2155 2166 2586 2907 3230 3249 3610 3879 4310 4845 5415 5814 6137 6465 6498 7327 7758 8189 9690 10830 12274 12930 14535 14654 16245 16378 18411 19395 21981 24567 29070 30685 32490 36635 36822 38790 40945 43962 49134 55233 61370 65943 73270 73701 81890 92055 109905 110466 122835 131886 139213 147402 155591 184110 219810 245670 276165 278426 311182 329715 368505 417639 466773 552330 659430 696065 737010 777955 835278 933546 1252917 1392130 1400319 1555910 2088195 2333865 2505834 2645047 2800638 4176390 4667730 5290094 6264585 7001595 7935141 12529170 13225235 14003190 15870282 23805423 26450470 39675705 47610846 79351410 119027115 238054230