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235130224 = 2472443677
BaseRepresentation
bin11100000001111…
…00110101110000
3121101102212000211
432000330311300
5440143131344
635155353504
75553400600
oct1600746560
9541385024
10235130224
111107a78aa
12668b2894
1339937414
1423328c00
1515998334
hexe03cd70

235130224 has 60 divisors (see below), whose sum is σ = 531923544. Its totient is φ = 100394112.

The previous prime is 235130221. The next prime is 235130239. The reversal of 235130224 is 422031532.

It is a junction number, because it is equal to n+sod(n) for n = 235130195 and 235130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235130221) 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 11 ways as a sum of consecutive naturals, for example, 346974 + ... + 347650.

Almost surely, 2235130224 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 235130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265961772).

235130224 is an abundant number, since it is smaller than the sum of its proper divisors (296793320).

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

235130224 is a wasteful number, since it uses less digits than its factorization.

235130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235130224 is about 15333.9565670443. The cubic root of 235130224 is about 617.2145458968.

Adding to 235130224 its reverse (422031532), we get a palindrome (657161756).

The spelling of 235130224 in words is "two hundred thirty-five million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 443 677 784 886 1354 1772 2708 3101 3544 4739 5416 6202 7088 9478 10832 12404 18956 21707 24808 33173 37912 43414 49616 66346 75824 86828 132692 173656 265384 299911 347312 530768 599822 1199644 2099377 2399288 4198754 4798576 8397508 14695639 16795016 29391278 33590032 58782556 117565112 235130224