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2221300104 = 23317127163263
BaseRepresentation
bin1000010001100110…
…0101100110001000
312201210202201220020
42010121211212020
514022123100404
61004230100440
7106021511412
oct20431454610
95653681806
102221300104
11a3a958711
1251baaa720
1329527b77a
141710239b2
15d0027ed9
hex84665988

2221300104 has 128 divisors (see below), whose sum is σ = 5985239040. Its totient is φ = 684536832.

The previous prime is 2221300057. The next prime is 2221300129. The reversal of 2221300104 is 4010031222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8445877 + ... + 8446139.

It is an arithmetic number, because the mean of its divisors is an integer number (46759680).

Almost surely, 22221300104 is an apocalyptic number.

2221300104 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 2221300104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992619520).

2221300104 is an abundant number, since it is smaller than the sum of its proper divisors (3763938936).

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

2221300104 is a wasteful number, since it uses less digits than its factorization.

2221300104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2221300104 is about 47130.6705235561. The cubic root of 2221300104 is about 1304.7753568782.

Adding to 2221300104 its reverse (4010031222), we get a palindrome (6231331326).

The spelling of 2221300104 in words is "two billion, two hundred twenty-one million, three hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 163 204 254 263 326 381 408 489 508 526 652 762 789 978 1016 1052 1304 1524 1578 1956 2104 2159 2771 3048 3156 3912 4318 4471 5542 6312 6477 8313 8636 8942 11084 12954 13413 16626 17272 17884 20701 22168 25908 26826 33252 33401 35768 41402 42869 51816 53652 62103 66504 66802 82804 85738 100203 107304 124206 128607 133604 165608 171476 200406 248412 257214 267208 342952 351917 400812 496824 514428 567817 703834 728773 801624 1028856 1055751 1135634 1407668 1457546 1703451 2111502 2186319 2271268 2815336 2915092 3406902 4223004 4372638 4542536 5444363 5830184 6813804 8446008 8745276 10888726 13627608 16333089 17490552 21777452 32666178 43554904 65332356 92554171 130664712 185108342 277662513 370216684 555325026 740433368 1110650052 2221300104