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2214293094 = 2321321017207
BaseRepresentation
bin1000001111111011…
…0110111001100110
312201022120202002100
42003332312321212
514013324334334
61003415552530
7105605115666
oct20376667146
95638522070
102214293094
11a36a021a2
1251968b746
13293997300
1417011c1a6
15ce5e1c99
hex83fb6e66

2214293094 has 72 divisors (see below), whose sum is σ = 5247236592. Its totient is φ = 674481600.

The previous prime is 2214293089. The next prime is 2214293111. The reversal of 2214293094 is 4903924122.

2214293094 is a `hidden beast` number, since 221 + 429 + 3 + 0 + 9 + 4 = 666.

It is a super-2 number, since 2×22142930942 = 9806187812272185672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303639 + ... + 310845.

It is an arithmetic number, because the mean of its divisors is an integer number (72878286).

Almost surely, 22214293094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214293094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623618296).

2214293094 is an abundant number, since it is smaller than the sum of its proper divisors (3032943498).

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

2214293094 is a wasteful number, since it uses less digits than its factorization.

2214293094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2214293094 is about 47056.2758194909. The cubic root of 2214293094 is about 1303.4019563571.

The spelling of 2214293094 in words is "two billion, two hundred fourteen million, two hundred ninety-three thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 169 202 234 303 338 507 606 909 1014 1313 1521 1818 2626 3042 3939 7207 7878 11817 14414 17069 21621 23634 34138 43242 51207 64863 93691 102414 129726 153621 187382 281073 307242 562146 727907 843219 1217983 1455814 1686438 2183721 2435966 3653949 4367442 6551163 7307898 9462791 10961847 13102326 18925582 21923694 28388373 56776746 85165119 123016283 170330238 246032566 369048849 738097698 1107146547 2214293094