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235022304 = 25311457487
BaseRepresentation
bin11100000001000…
…10011111100000
3121101020100222210
432000202133200
5440131203204
635153202120
75552441136
oct1600423740
9541210883
10235022304
11110733810
1266860340
13398ca26a
14232db756
1515976389
hexe0227e0

235022304 has 96 divisors (see below), whose sum is σ = 675876096. Its totient is φ = 70917120.

The previous prime is 235022243. The next prime is 235022309. The reversal of 235022304 is 403220532.

235022304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235022309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 482349 + ... + 482835.

It is an arithmetic number, because the mean of its divisors is an integer number (7040376).

Almost surely, 2235022304 is an apocalyptic number.

235022304 is a gapful number since it is divisible by the number (24) 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 235022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337938048).

235022304 is an abundant number, since it is smaller than the sum of its proper divisors (440853792).

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

235022304 is a wasteful number, since it uses less digits than its factorization.

235022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 235022304 is about 15330.4371757625. The cubic root of 235022304 is about 617.1201017967.

Adding to 235022304 its reverse (403220532), we get a palindrome (638242836).

The spelling of 235022304 in words is "two hundred thirty-five million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 457 487 528 914 974 1056 1371 1461 1828 1948 2742 2922 3656 3896 5027 5357 5484 5844 7312 7792 10054 10714 10968 11688 14624 15081 15584 16071 20108 21428 21936 23376 30162 32142 40216 42856 43872 46752 60324 64284 80432 85712 120648 128568 160864 171424 222559 241296 257136 445118 482592 514272 667677 890236 1335354 1780472 2448149 2670708 3560944 4896298 5341416 7121888 7344447 9792596 10682832 14688894 19585192 21365664 29377788 39170384 58755576 78340768 117511152 235022304