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2214355117 = 132292291973
BaseRepresentation
bin1000001111111100…
…0110000010101101
312201022200220011111
42003333012002231
514013333330432
61003421152021
7105605464552
oct20377060255
95638626144
102214355117
11a36a44857
125196bb611
132939b9600
14170136a29
15ce605347
hex83fc60ad

2214355117 has 24 divisors (see below), whose sum is σ = 2492569800. Its totient is φ = 1963922688.

The previous prime is 2214355103. The next prime is 2214355123. The reversal of 2214355117 is 7115534122.

2214355117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 837870916 + 1376484201 = 28946^2 + 37101^2 .

It is a de Polignac number, because none of the positive numbers 2k-2214355117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214355147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121343 + ... + 1123315.

It is an arithmetic number, because the mean of its divisors is an integer number (103857075).

Almost surely, 22214355117 is an apocalyptic number.

It is an amenable number.

2214355117 is a deficient number, since it is larger than the sum of its proper divisors (278214683).

2214355117 is a wasteful number, since it uses less digits than its factorization.

2214355117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2244 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 2214355117 is about 47056.9348449301. The cubic root of 2214355117 is about 1303.4141258007.

Adding to 2214355117 its reverse (7115534122), we get a palindrome (9329889239).

The spelling of 2214355117 in words is "two billion, two hundred fourteen million, three hundred fifty-five thousand, one hundred seventeen".

Divisors: 1 13 29 169 229 377 1973 2977 4901 6641 25649 38701 57217 86333 333437 451817 743821 1122329 5873621 9669673 13102693 76357073 170335009 2214355117