Search a number
-
+
75224234340 = 22325417912413
BaseRepresentation
bin100011000001110110…
…1101011100101100100
321012011111200001010100
41012003231223211210
52213024400444330
654320232224100
75302061304363
oct1060355534544
9235144601110
1075224234340
11299a2134712
12126b453b030
13712a897088
1438d87a77da
151e540ac060
hex1183b6b964

75224234340 has 36 divisors (see below), whose sum is σ = 228180178044. Its totient is φ = 20059795776.

The previous prime is 75224234257. The next prime is 75224234347. The reversal of 75224234340 is 4343242257.

75224234340 is a `hidden beast` number, since 75 + 2 + 242 + 3 + 4 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21899264256 + 53324970084 = 147984^2 + 230922^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75224234295 and 75224234304.

It is not an unprimeable number, because it can be changed into a prime (75224234347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208956027 + ... + 208956386.

It is an arithmetic number, because the mean of its divisors is an integer number (6338338279).

Almost surely, 275224234340 is an apocalyptic number.

It is an amenable number.

75224234340 is an abundant number, since it is smaller than the sum of its proper divisors (152955943704).

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

75224234340 is a wasteful number, since it uses less digits than its factorization.

75224234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417912428 (or 417912423 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Adding to 75224234340 its reverse (4343242257), we get a palindrome (79567476597).

The spelling of 75224234340 in words is "seventy-five billion, two hundred twenty-four million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 417912413 835824826 1253737239 1671649652 2089562065 2507474478 3761211717 4179124130 5014948956 6268686195 7522423434 8358248260 12537372390 15044846868 18806058585 25074744780 37612117170 75224234340