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233242112 = 29412271
BaseRepresentation
bin11011110011011…
…11111000000000
3121020212221000202
431321233320000
5434202221422
635051104332
75531345105
oct1571577000
9536787022
10233242112
1110a728284
12661420a8
1339425bac
1422d96aac
1515723b92
hexde6fe00

233242112 has 60 divisors (see below), whose sum is σ = 479435088. Its totient is φ = 113356800.

The previous prime is 233242111. The next prime is 233242169. The reversal of 233242112 is 211242332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233242111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 860537 + ... + 860807.

Almost surely, 2233242112 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 233242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239717544).

233242112 is an abundant number, since it is smaller than the sum of its proper divisors (246192976).

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

233242112 is an frugal number, since it uses more digits than its factorization.

233242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 314 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 233242112 is about 15272.2661055915. The cubic root of 233242112 is about 615.5580120606.

Adding to 233242112 its reverse (211242332), we get a palindrome (444484444).

It can be divided in two parts, 2332 and 42112, that added together give a palindrome (44444).

The spelling of 233242112 in words is "two hundred thirty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 271 328 512 542 656 1084 1312 1681 2168 2624 3362 4336 5248 6724 8672 10496 11111 13448 17344 20992 22222 26896 34688 44444 53792 69376 88888 107584 138752 177776 215168 355552 430336 455551 711104 860672 911102 1422208 1822204 2844416 3644408 5688832 7288816 14577632 29155264 58310528 116621056 233242112