Search a number
-
+
2205024432 = 243133533693
BaseRepresentation
bin1000001101101110…
…0000000010110000
312200200010211212120
42003123200002300
514003441240212
61002445154240
7105433253442
oct20333400260
95620124776
102205024432
11a31751546
1251655b980
13291aa05b0
1416cbc8492
15cd8b088c
hex836e00b0

2205024432 has 40 divisors (see below), whose sum is σ = 6134492784. Its totient is φ = 678468864.

The previous prime is 2205024427. The next prime is 2205024433. The reversal of 2205024432 is 2344205022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2205024433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1766223 + ... + 1767470.

Almost surely, 22205024432 is an apocalyptic number.

It is an amenable number.

2205024432 is an abundant number, since it is smaller than the sum of its proper divisors (3929468352).

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

2205024432 is a wasteful number, since it uses less digits than its factorization.

2205024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533717 (or 3533711 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2205024432 is about 46957.6876773122. The cubic root of 2205024432 is about 1301.5808051606.

Adding to 2205024432 its reverse (2344205022), we get a palindrome (4549229454).

The spelling of 2205024432 in words is "two billion, two hundred five million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3533693 7067386 10601079 14134772 21202158 28269544 42404316 45938009 56539088 84808632 91876018 137814027 169617264 183752036 275628054 367504072 551256108 735008144 1102512216 2205024432