Search a number
-
+
2204432432 = 241779173593
BaseRepresentation
bin1000001101100100…
…1111100000110000
312200122000202210122
42003121033200300
514003313314212
61002424345412
7105425236466
oct20331174060
95618022718
102204432432
11a31387794
12516315268
13291923cb7
1416cab2836
15cd7e5272
hex8364f830

2204432432 has 80 divisors (see below), whose sum is σ = 4613811840. Its totient is φ = 1016610816.

The previous prime is 2204432429. The next prime is 2204432437. The reversal of 2204432432 is 2342344022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2204432437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717128 + ... + 3717720.

It is an arithmetic number, because the mean of its divisors is an integer number (57672648).

Almost surely, 22204432432 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 2204432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306905920).

2204432432 is an abundant number, since it is smaller than the sum of its proper divisors (2409379408).

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

2204432432 is a wasteful number, since it uses less digits than its factorization.

2204432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2204432432 is about 46951.3837069793. The cubic root of 2204432432 is about 1301.4643129058.

Adding to 2204432432 its reverse (2342344022), we get a palindrome (4546776454).

The spelling of 2204432432 in words is "two billion, two hundred four million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 173 272 316 346 593 632 692 1186 1264 1343 1384 2372 2686 2768 2941 4744 5372 5882 9488 10081 10744 11764 13667 20162 21488 23528 27334 40324 46847 47056 54668 80648 93694 102589 109336 161296 187388 205178 218672 232339 374776 410356 464678 749552 796399 820712 929356 1592798 1641424 1744013 1858712 3185596 3488026 3717424 6371192 6976052 8104531 12742384 13952104 16209062 27904208 32418124 64836248 129672496 137777027 275554054 551108108 1102216216 2204432432