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231436128 = 253711131239
BaseRepresentation
bin11011100101101…
…10111101100000
3121010111011200110
431302312331200
5433221424003
634544251320
75510113620
oct1562667540
9533434613
10231436128
11109704430
1265610b40
1338c42b71
1422a46880
15154b8a03
hexdcb6f60

231436128 has 192 divisors, whose sum is σ = 766402560. Its totient is φ = 59404800.

The previous prime is 231436099. The next prime is 231436129. The reversal of 231436128 is 821634132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231436095 and 231436104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231436129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968233 + ... + 968471.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2231436128 is an apocalyptic number.

231436128 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 231436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

231436128 is an abundant number, since it is smaller than the sum of its proper divisors (534966432).

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

231436128 is a wasteful number, since it uses less digits than its factorization.

231436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 231436128 is about 15213.0249457496. The cubic root of 231436128 is about 613.9651470772.

The spelling of 231436128 in words is "two hundred thirty-one million, four hundred thirty-six thousand, one hundred twenty-eight".