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2220110004 = 2237532972
BaseRepresentation
bin1000010001010100…
…0011000010110100
312201201112021101110
42010111003002310
514021322010004
61004144355020
7106005423630
oct20425030264
95651467343
102220110004
11a3a215562
1251b615a70
13294c52b78
14170bd3dc0
15ced90589
hex845430b4

2220110004 has 108 divisors (see below), whose sum is σ = 6096953184. Its totient is φ = 615932928.

The previous prime is 2220110003. The next prime is 2220110021. The reversal of 2220110004 is 4000110222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220110003) 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 35 ways as a sum of consecutive naturals, for example, 22887684 + ... + 22887780.

Almost surely, 22220110004 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 2220110004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048476592).

2220110004 is an abundant number, since it is smaller than the sum of its proper divisors (3876843180).

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

2220110004 is an equidigital number, since it uses as much as digits as its factorization.

2220110004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2220110004 is about 47118.0432955359. The cubic root of 2220110004 is about 1304.5422965866.

Adding to 2220110004 its reverse (4000110222), we get a palindrome (6220220226).

The spelling of 2220110004 in words is "two billion, two hundred twenty million, one hundred ten thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 97 106 159 194 212 291 318 371 388 582 636 679 742 1113 1164 1358 1484 2037 2226 2716 2809 4074 4452 5141 5618 8148 8427 9409 10282 11236 15423 16854 18818 19663 20564 28227 30846 33708 35987 37636 39326 56454 58989 61692 65863 71974 78652 107961 112908 117978 131726 143948 197589 215922 235956 263452 272473 395178 431844 498677 544946 790356 817419 997354 1089892 1496031 1634838 1907311 1994708 2992062 3269676 3490739 3814622 5721933 5984124 6981478 7629244 10472217 11443866 13962956 20944434 22887732 26429881 41888868 52859762 79289643 105719524 158579286 185009167 317158572 370018334 555027501 740036668 1110055002 2220110004