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235068648 = 233232571657
BaseRepresentation
bin11100000001011…
…01110011101000
3121101022201120020
432000231303220
5440134144043
635154200440
75553023223
oct1600556350
9541281506
10235068648
11110765611
1266883120
1339915399
14233105ba
1515984e83
hexe02dce8

235068648 has 64 divisors (see below), whose sum is σ = 615980160. Its totient is φ = 74612736.

The previous prime is 235068619. The next prime is 235068649. The reversal of 235068648 is 846860532.

235068648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (235068649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141036 + ... + 142692.

It is an arithmetic number, because the mean of its divisors is an integer number (9624690).

Almost surely, 2235068648 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 235068648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307990080).

235068648 is an abundant number, since it is smaller than the sum of its proper divisors (380911512).

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

235068648 is a wasteful number, since it uses less digits than its factorization.

235068648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 235068648 is about 15331.9486041403. The cubic root of 235068648 is about 617.1606623929.

The spelling of 235068648 in words is "two hundred thirty-five million, sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 1657 2056 3084 3314 4971 5911 6168 6628 9942 11822 13256 17733 19884 23644 35466 38111 39768 47288 70932 76222 114333 141864 152444 228666 304888 425849 457332 851698 914664 1277547 1703396 2555094 3406792 5110188 9794527 10220376 19589054 29383581 39178108 58767162 78356216 117534324 235068648