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2114221104 = 243229598581
BaseRepresentation
bin111111000000100…
…0111010000110000
312110100021120010100
41332001013100300
513312220033404
6545443032400
7103251403632
oct17601072060
95410246110
102114221104
11995471676
124b006b700
13279029b08
14160b0ca52
15c5925d39
hex7e047430

2114221104 has 120 divisors (see below), whose sum is σ = 6225382800. Its totient is φ = 668828160.

The previous prime is 2114221103. The next prime is 2114221141. The reversal of 2114221104 is 4011224112.

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 (2114221103) 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 23 ways as a sum of consecutive naturals, for example, 242094 + ... + 250674.

It is an arithmetic number, because the mean of its divisors is an integer number (51878190).

Almost surely, 22114221104 is an apocalyptic number.

2114221104 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 2114221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112691400).

2114221104 is an abundant number, since it is smaller than the sum of its proper divisors (4111161696).

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

2114221104 is a wasteful number, since it uses less digits than its factorization.

2114221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114221104 is about 45980.6601083543. The cubic root of 2114221104 is about 1283.4633387758.

Adding to 2114221104 its reverse (4011224112), we get a palindrome (6125445216).

The spelling of 2114221104 in words is "two billion, one hundred fourteen million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 59 72 87 116 118 144 174 177 232 236 261 348 354 464 472 522 531 696 708 944 1044 1062 1392 1416 1711 2088 2124 2832 3422 4176 4248 5133 6844 8496 8581 10266 13688 15399 17162 20532 25743 27376 30798 34324 41064 51486 61596 68648 77229 82128 102972 123192 137296 154458 205944 246384 248849 308916 411888 497698 506279 617832 746547 995396 1012558 1235664 1493094 1518837 1990792 2025116 2239641 2986188 3037674 3981584 4050232 4479282 4556511 5972376 6075348 8100464 8958564 9113022 11944752 12150696 14682091 17917128 18226044 24301392 29364182 35834256 36452088 44046273 58728364 72904176 88092546 117456728 132138819 176185092 234913456 264277638 352370184 528555276 704740368 1057110552 2114221104