Search a number
-
+
235035416 = 23711834597
BaseRepresentation
bin11100000001001…
…01101100011000
3121101021000222102
432000211230120
5440132113131
635153342532
75552524310
oct1600455430
9541230872
10235035416
11110742650
1266867a48
1339903215
1423302440
151597a1cb
hexe025b18

235035416 has 64 divisors (see below), whose sum is σ = 556174080. Its totient is φ = 90449280.

The previous prime is 235035389. The next prime is 235035457. The reversal of 235035416 is 614530532.

235035416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 48830 + ... + 53426.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2235035416 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 235035416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

235035416 is an abundant number, since it is smaller than the sum of its proper divisors (321138664).

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

235035416 is a wasteful number, since it uses less digits than its factorization.

235035416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 235035416 is about 15330.8648157891. The cubic root of 235035416 is about 617.1315780526.

Adding to 235035416 its reverse (614530532), we get a palindrome (849565948).

The spelling of 235035416 in words is "two hundred thirty-five million, thirty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 308 332 581 616 664 913 1162 1826 2324 3652 4597 4648 6391 7304 9194 12782 18388 25564 32179 36776 50567 51128 64358 101134 128716 202268 257432 353969 381551 404536 707938 763102 1415876 1526204 2670857 2831752 3052408 4197061 5341714 8394122 10683428 16788244 21366856 29379427 33576488 58758854 117517708 235035416