Search a number
-
+
238697136 = 243217281347
BaseRepresentation
bin11100011101000…
…11101010110000
3121122011001220200
432032203222300
5442101302021
635404035200
75625615006
oct1616435260
9548131820
10238697136
11112813767
1267b32b00
133a5b5b12
14239b6a76
1515e50126
hexe3a3ab0

238697136 has 120 divisors (see below), whose sum is σ = 711878544. Its totient is φ = 74403840.

The previous prime is 238697099. The next prime is 238697143. The reversal of 238697136 is 631796832.

238697136 is digitally balanced in base 2 and base 3, because in such bases 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 = 238697091 and 238697100.

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, 687715 + ... + 688061.

Almost surely, 2238697136 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 238697136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355939272).

238697136 is an abundant number, since it is smaller than the sum of its proper divisors (473181408).

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

238697136 is a wasteful number, since it uses less digits than its factorization.

238697136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 238697136 is about 15449.8264067918. The cubic root of 238697136 is about 620.3199320016.

The spelling of 238697136 in words is "two hundred thirty-eight million, six hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 281 306 347 408 562 612 694 816 843 1041 1124 1224 1388 1686 2082 2248 2448 2529 2776 3123 3372 4164 4496 4777 5058 5552 5899 6246 6744 8328 9554 10116 11798 12492 13488 14331 16656 17697 19108 20232 23596 24984 28662 35394 38216 40464 42993 47192 49968 53091 57324 70788 76432 85986 94384 97507 106182 114648 141576 171972 195014 212364 229296 283152 292521 343944 390028 424728 585042 687888 780056 849456 877563 1170084 1560112 1657619 1755126 2340168 3315238 3510252 4680336 4972857 6630476 7020504 9945714 13260952 14041008 14918571 19891428 26521904 29837142 39782856 59674284 79565712 119348568 238697136