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235354112 = 211716417
BaseRepresentation
bin11100000011100…
…11100000000000
3121101212020010222
432001303200000
5440222312422
635204242212
75555322410
oct1601634000
9541766128
10235354112
11110940034
12669a0368
13399b52b6
1423386640
15159de842
hexe073800

235354112 has 48 divisors (see below), whose sum is σ = 537853680. Its totient is φ = 100859904.

The previous prime is 235354109. The next prime is 235354129. The reversal of 235354112 is 211453532.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6128 + ... + 22544.

It is an arithmetic number, because the mean of its divisors is an integer number (11205285).

Almost surely, 2235354112 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 235354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268926840).

235354112 is an abundant number, since it is smaller than the sum of its proper divisors (302499568).

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

235354112 is an equidigital number, since it uses as much as digits as its factorization.

235354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16446 (or 16426 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 235354112 is about 15341.2552289570. The cubic root of 235354112 is about 617.4103850239.

It can be divided in two parts, 2353 and 54112, that added together give a palindrome (56465).

The spelling of 235354112 in words is "two hundred thirty-five million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 16417 32834 65668 114919 131336 229838 262672 459676 525344 919352 1050688 1838704 2101376 3677408 4202752 7354816 8405504 14709632 16811008 29419264 33622016 58838528 117677056 235354112