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235824440 = 23531190181
BaseRepresentation
bin11100000111001…
…10010100111000
3121102202010022112
432003212110320
5440332340230
635222311452
75562321545
oct1603462470
9542663275
10235824440
11111131435
1266b88588
1339b1b3b7
1423469bcc
1515a83d95
hexe0e6538

235824440 has 32 divisors (see below), whose sum is σ = 547724160. Its totient is φ = 91286400.

The previous prime is 235824437. The next prime is 235824461. The reversal of 235824440 is 44428532.

It is a super-2 number, since 2×2358244402 = 111226333002627200, which contains 22 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 235824397 and 235824406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93851 + ... + 96330.

It is an arithmetic number, because the mean of its divisors is an integer number (17116380).

Almost surely, 2235824440 is an apocalyptic number.

235824440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235824440 is an abundant number, since it is smaller than the sum of its proper divisors (311899720).

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

235824440 is a wasteful number, since it uses less digits than its factorization.

235824440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190223 (or 190219 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 235824440 is about 15356.5764413817. The cubic root of 235824440 is about 617.8213858058.

The spelling of 235824440 in words is "two hundred thirty-five million, eight hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 190181 380362 760724 950905 1521448 1901810 3803620 5895611 7607240 11791222 23582444 29478055 47164888 58956110 117912220 235824440