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232528128 = 2837237167
BaseRepresentation
bin11011101110000…
…01100100000000
3121012112122121220
431313001210000
5434011400003
635023515040
75522312400
oct1567014400
9535478556
10232528128
1110a28a908
1265a58a80
1339235c11
1422c4c800
1515632353
hexddc1900

232528128 has 216 divisors, whose sum is σ = 743787072. Its totient is φ = 64253952.

The previous prime is 232528081. The next prime is 232528151. The reversal of 232528128 is 821825232.

It is a super-2 number, since 2×2325281282 = 108138660622368768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392301 + ... + 1392467.

Almost surely, 2232528128 is an apocalyptic number.

232528128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371893536).

232528128 is an abundant number, since it is smaller than the sum of its proper divisors (511258944).

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

232528128 is a wasteful number, since it uses less digits than its factorization.

232528128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 232528128 is about 15248.8730075373. The cubic root of 232528128 is about 614.9292694121.

The spelling of 232528128 in words is "two hundred thirty-two million, five hundred twenty-eight thousand, one hundred twenty-eight".