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2201122098 = 2327294314009
BaseRepresentation
bin1000001100110010…
…0111010100110010
312200101210120212200
42003030213110302
514001441401343
61002225404030
7105355141410
oct20314472462
95611716780
102201122098
11a2a52667a
12515199616
13291035316
1416c4902b0
15cd38e4d3
hex83327532

2201122098 has 96 divisors (see below), whose sum is σ = 5769878400. Its totient is φ = 593042688.

The previous prime is 2201122097. The next prime is 2201122177. The reversal of 2201122098 is 8902211022.

It is not an unprimeable number, because it can be changed into a prime (2201122097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150118 + ... + 164126.

It is an arithmetic number, because the mean of its divisors is an integer number (60102900).

Almost surely, 22201122098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201122098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884939200).

2201122098 is an abundant number, since it is smaller than the sum of its proper divisors (3568756302).

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

2201122098 is a wasteful number, since it uses less digits than its factorization.

2201122098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2201122098 is about 46916.1176782564. The cubic root of 2201122098 is about 1300.8125291262.

The spelling of 2201122098 in words is "two billion, two hundred one million, one hundred twenty-two thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 43 58 63 86 87 126 129 174 203 258 261 301 387 406 522 602 609 774 903 1218 1247 1806 1827 2494 2709 3654 3741 5418 7482 8729 11223 14009 17458 22446 26187 28018 42027 52374 78561 84054 98063 126081 157122 196126 252162 294189 406261 588378 602387 812522 882567 1204774 1218783 1765134 1807161 2437566 2843827 3614322 3656349 4216709 5421483 5687654 7312698 8433418 8531481 10842966 12650127 17062962 17469223 25300254 25594443 34938446 37950381 51188886 52407669 75900762 104815338 122284561 157223007 244569122 314446014 366853683 733707366 1100561049 2201122098