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238256128 = 21511661
BaseRepresentation
bin11100011001110…
…00000000000000
3121121022122222001
432030320000000
5441443144003
635350353344
75622100165
oct1614700000
9547278861
10238256128
111125423a0
126795b854
133a490176
142390006c
1515db461d
hexe338000

238256128 has 64 divisors (see below), whose sum is σ = 520610040. Its totient is φ = 108134400.

The previous prime is 238256107. The next prime is 238256129. The reversal of 238256128 is 821652832.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238256129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360118 + ... + 360778.

Almost surely, 2238256128 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 238256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260305020).

238256128 is an abundant number, since it is smaller than the sum of its proper divisors (282353912).

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

238256128 is an frugal number, since it uses more digits than its factorization.

238256128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 674 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 238256128 is about 15435.5475445479. The cubic root of 238256128 is about 619.9376697659.

The spelling of 238256128 in words is "two hundred thirty-eight million, two hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 661 704 1024 1322 1408 2048 2644 2816 4096 5288 5632 7271 8192 10576 11264 14542 16384 21152 22528 29084 32768 42304 45056 58168 84608 90112 116336 169216 180224 232672 338432 360448 465344 676864 930688 1353728 1861376 2707456 3722752 5414912 7445504 10829824 14891008 21659648 29782016 59564032 119128064 238256128