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238025568 = 253111713259
BaseRepresentation
bin11100010111111…
…11101101100000
3121120212221200210
432023333231200
5441413304233
635341414120
75620120044
oct1613775540
9546787623
10238025568
111123a5150
126786a340
133a40c241
1423880024
1515d6b163
hexe2ffb60

238025568 has 96 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 67880960.

The previous prime is 238025561. The next prime is 238025569. The reversal of 238025568 is 865520832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238025561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11323 + ... + 24581.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2238025568 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 238025568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

238025568 is an abundant number, since it is smaller than the sum of its proper divisors (483742752).

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

238025568 is a wasteful number, since it uses less digits than its factorization.

238025568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13300 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 238025568 is about 15428.0772619274. The cubic root of 238025568 is about 619.7376343944.

The spelling of 238025568 in words is "two hundred thirty-eight million, twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 13259 17952 26518 39777 53036 79554 106072 145849 159108 212144 225403 291698 318216 424288 437547 450806 583396 636432 676209 875094 901612 1166792 1272864 1352418 1750188 1803224 2333584 2479433 2704836 3500376 3606448 4667168 4958866 5409672 7000752 7212896 7438299 9917732 10819344 14001504 14876598 19835464 21638688 29753196 39670928 59506392 79341856 119012784 238025568