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2181998106 = 2322941432371
BaseRepresentation
bin1000001000001110…
…1010011000011010
312122001210222200200
42002003222120122
513432042414411
61000303443030
7105033451341
oct20203523032
95561728620
102181998106
11a1a754522
1250a8b6476
1328a09a852
14169b12b58
15cb862e56
hex820ea61a

2181998106 has 96 divisors (see below), whose sum is σ = 5128643520. Its totient is φ = 668908800.

The previous prime is 2181998101. The next prime is 2181998107. The reversal of 2181998106 is 6018991812.

It is a super-2 number, since 2×21819981062 = 9522231469175174472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2181998101) 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, 919101 + ... + 921471.

It is an arithmetic number, because the mean of its divisors is an integer number (53423370).

Almost surely, 22181998106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181998106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564321760).

2181998106 is an abundant number, since it is smaller than the sum of its proper divisors (2946645414).

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

2181998106 is a wasteful number, since it uses less digits than its factorization.

2181998106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 2181998106 is about 46711.8625832882. The cubic root of 2181998106 is about 1297.0342859550.

The spelling of 2181998106 in words is "two billion, one hundred eighty-one million, nine hundred ninety-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 29 41 43 58 82 86 87 123 129 174 246 258 261 369 387 522 738 774 1189 1247 1763 2371 2378 2494 3526 3567 3741 4742 5289 7113 7134 7482 10578 10701 11223 14226 15867 21339 21402 22446 31734 42678 51127 68759 97211 101953 102254 137518 153381 194422 203906 206277 291633 305859 306762 412554 460143 583266 611718 618831 874899 917577 920286 1237662 1749798 1835154 2819119 2956637 4180073 5638238 5913274 8360146 8457357 8869911 12540219 16914714 17739822 25080438 25372071 26609733 37620657 50744142 53219466 75241314 121222117 242444234 363666351 727332702 1090999053 2181998106