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2201221104 = 2432914910613
BaseRepresentation
bin1000001100110011…
…1111011111110000
312200101222121200120
42003030333133300
514002003033404
61002231450240
7105356033145
oct20314773760
95611877616
102201221104
11a2a593aa5
12515226980
1329106b3c4
1416c4b83cc
15cd3ad9d9
hex8333f7f0

2201221104 has 80 divisors (see below), whose sum is σ = 5922612000. Its totient is φ = 703618048.

The previous prime is 2201221103. The next prime is 2201221151. The reversal of 2201221104 is 4011221022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201221103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202102 + ... + 212714.

It is an arithmetic number, because the mean of its divisors is an integer number (74032650).

Almost surely, 22201221104 is an apocalyptic number.

2201221104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961306000).

2201221104 is an abundant number, since it is smaller than the sum of its proper divisors (3721390896).

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

2201221104 is a wasteful number, since it uses less digits than its factorization.

2201221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2201221104 is about 46917.1728048483. The cubic root of 2201221104 is about 1300.8320322566.

Adding to 2201221104 its reverse (4011221022), we get a palindrome (6212442126).

The spelling of 2201221104 in words is "two billion, two hundred one million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 149 174 232 298 348 447 464 596 696 894 1192 1392 1788 2384 3576 4321 7152 8642 10613 12963 17284 21226 25926 31839 34568 42452 51852 63678 69136 84904 103704 127356 169808 207408 254712 307777 509424 615554 923331 1231108 1581337 1846662 2462216 3162674 3693324 4744011 4924432 6325348 7386648 9488022 12650696 14773296 18976044 25301392 37952088 45858773 75904176 91717546 137576319 183435092 275152638 366870184 550305276 733740368 1100610552 2201221104