Search a number
-
+
2204413002 = 2331111633191
BaseRepresentation
bin1000001101100100…
…1010110001001010
312200121222210011000
42003121022301022
514003312204002
61002424115430
7105425126031
oct20331126112
95617883130
102204413002
11a31374130
12516305b76
132919181bc
1416caa9718
15cd7de61c
hex8364ac4a

2204413002 has 64 divisors (see below), whose sum is σ = 5350302720. Its totient is φ = 667220400.

The previous prime is 2204412983. The next prime is 2204413009. The reversal of 2204413002 is 2003144022.

2204413002 is a `hidden beast` number, since 220 + 441 + 3 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2204413009) 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 31 ways as a sum of consecutive naturals, for example, 689227 + ... + 692417.

It is an arithmetic number, because the mean of its divisors is an integer number (83598480).

Almost surely, 22204413002 is an apocalyptic number.

2204413002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204413002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675151360).

2204413002 is an abundant number, since it is smaller than the sum of its proper divisors (3145889718).

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

2204413002 is a wasteful number, since it uses less digits than its factorization.

2204413002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2204413002 is about 46951.1767903638. The cubic root of 2204413002 is about 1301.4604891663.

Adding to 2204413002 its reverse (2003144022), we get a palindrome (4207557024).

The spelling of 2204413002 in words is "two billion, two hundred four million, four hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1163 2326 3191 3489 6382 6978 9573 10467 12793 19146 20934 25586 28719 31401 35101 38379 57438 62802 70202 76758 86157 105303 115137 172314 210606 230274 315909 345411 631818 690822 947727 1895454 3711133 7422266 11133399 22266798 33400197 40822463 66800394 81644926 100200591 122467389 200401182 244934778 367402167 734804334 1102206501 2204413002