Search a number
-
+
232444005200 = 24521152828183
BaseRepresentation
bin1101100001111010111…
…1100000101101010000
3211012222102101220201122
43120132233200231100
512302021131131300
6254441105421412
722536115305311
oct3303657405520
9735872356648
10232444005200
118a640643540
123907103a868
1318bc4b397a4
14b370d62608
1560a6917c85
hex361ebe0b50

232444005200 has 60 divisors (see below), whose sum is σ = 609214617888. Its totient is φ = 84525091200.

The previous prime is 232444005197. The next prime is 232444005203. The reversal of 232444005200 is 2500444232.

It is a happy number.

232444005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232444005197) and next prime (232444005203).

It is a super-3 number, since 3×2324440052003 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232444005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232444005203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26409692 + ... + 26418491.

Almost surely, 2232444005200 is an apocalyptic number.

232444005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232444005200 is an abundant number, since it is smaller than the sum of its proper divisors (376770612688).

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

232444005200 is a wasteful number, since it uses less digits than its factorization.

232444005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52828212 (or 52828201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 232444005200 its reverse (2500444232), we get a palindrome (234944449432).

The spelling of 232444005200 in words is "two hundred thirty-two billion, four hundred forty-four million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 52828183 105656366 211312732 264140915 422625464 528281830 581110013 845250928 1056563660 1162220026 1320704575 2113127320 2324440052 2641409150 2905550065 4226254640 4648880104 5282818300 5811100130 9297760208 10565636600 11622200260 14527750325 21131273200 23244400520 29055500650 46488801040 58111001300 116222002600 232444005200