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238318056 = 233229311367
BaseRepresentation
bin11100011010001…
…11000111101000
3121121102210220200
432031013013220
5442002134211
635351552200
75622445554
oct1615070750
9547383820
10238318056
11112584979
126798b660
133a4b2402
1423918864
1515dc7b56
hexe3471e8

238318056 has 96 divisors (see below), whose sum is σ = 671673600. Its totient is φ = 76245120.

The previous prime is 238318043. The next prime is 238318081. The reversal of 238318056 is 650813832.

238318056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 238318056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649185 + ... + 649551.

It is an arithmetic number, because the mean of its divisors is an integer number (6996600).

Almost surely, 2238318056 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 238318056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335836800).

238318056 is an abundant number, since it is smaller than the sum of its proper divisors (433355544).

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

238318056 is a wasteful number, since it uses less digits than its factorization.

238318056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 238318056 is about 15437.5534331059. The cubic root of 238318056 is about 619.9913769179.

The spelling of 238318056 in words is "two hundred thirty-eight million, three hundred eighteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 311 348 367 522 622 696 734 933 1044 1101 1244 1468 1866 2088 2202 2488 2799 2936 3303 3732 4404 5598 6606 7464 8808 9019 10643 11196 13212 18038 21286 22392 26424 27057 31929 36076 42572 54114 63858 72152 81171 85144 95787 108228 114137 127716 162342 191574 216456 228274 255432 324684 342411 383148 456548 649368 684822 766296 913096 1027233 1369644 2054466 2739288 3309973 4108932 6619946 8217864 9929919 13239892 19859838 26479784 29789757 39719676 59579514 79439352 119159028 238318056