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235230016 = 2672337617
BaseRepresentation
bin11100000010101…
…01001101000000
3121101121220220211
432001111031000
5440204330031
635201443504
75554264540
oct1601251500
9541556824
10235230016
1111086587a
1266940594
1339970978
1423353320
15159b7bb1
hexe055340

235230016 has 112 divisors (see below), whose sum is σ = 572633856. Its totient is φ = 93671424.

The previous prime is 235230011. The next prime is 235230041. The reversal of 235230016 is 610032532.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235230011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380940 + ... + 381556.

Almost surely, 2235230016 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 235230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286316928).

235230016 is an abundant number, since it is smaller than the sum of its proper divisors (337403840).

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

235230016 is a wasteful number, since it uses less digits than its factorization.

235230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 235230016 is about 15337.2101765608. The cubic root of 235230016 is about 617.3018512226.

Adding to 235230016 its reverse (610032532), we get a palindrome (845262548).

The spelling of 235230016 in words is "two hundred thirty-five million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 64 74 92 112 148 161 184 224 259 296 322 368 448 518 592 617 644 736 851 1036 1184 1234 1288 1472 1702 2072 2368 2468 2576 3404 4144 4319 4936 5152 5957 6808 8288 8638 9872 10304 11914 13616 14191 16576 17276 19744 22829 23828 27232 28382 34552 39488 45658 47656 54464 56764 69104 91316 95312 99337 113528 138208 159803 182632 190624 198674 227056 276416 319606 365264 381248 397348 454112 525067 639212 730528 794696 908224 1050134 1278424 1461056 1589392 2100268 2556848 3178784 3675469 4200536 5113696 6357568 7350938 8401072 10227392 14701876 16802144 29403752 33604288 58807504 117615008 235230016