Search a number
-
+
2422214190 = 23251112831907
BaseRepresentation
bin1001000001100000…
…0000111000101110
320020210211020012200
42100120000320232
514430041323230
61040204242330
7114011323644
oct22030007056
96223736180
102422214190
111033305410
125772403a6
132c7a95b46
1418d9a3194
15e29b3160
hex90600e2e

2422214190 has 96 divisors (see below), whose sum is σ = 6879240576. Its totient is φ = 586438080.

The previous prime is 2422214173. The next prime is 2422214191. The reversal of 2422214190 is 914122242.

2422214190 is a `hidden beast` number, since 24 + 2 + 221 + 419 + 0 = 666.

It is a super-2 number, since 2×24222141902 = 11734243164474712200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422214191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269217 + ... + 1271123.

It is an arithmetic number, because the mean of its divisors is an integer number (71658756).

Almost surely, 22422214190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422214190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439620288).

2422214190 is an abundant number, since it is smaller than the sum of its proper divisors (4457026386).

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

2422214190 is a wasteful number, since it uses less digits than its factorization.

2422214190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2422214190 is about 49215.9952657670. The cubic root of 2422214190 is about 1342.9840290382.

It can be divided in two parts, 2422 and 214190, that added together give a palindrome (216612).

The spelling of 2422214190 in words is "two billion, four hundred twenty-two million, two hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1283 1907 2566 3814 3849 5721 6415 7698 9535 11442 11547 12830 14113 17163 19070 19245 20977 23094 28226 28605 34326 38490 41954 42339 57210 57735 62931 70565 84678 85815 104885 115470 125862 127017 141130 171630 188793 209770 211695 254034 314655 377586 423390 629310 635085 943965 1270170 1887930 2446681 4893362 7340043 12233405 14680086 22020129 24466810 26913491 36700215 44040258 53826982 73400430 80740473 110100645 134567455 161480946 220201290 242221419 269134910 403702365 484442838 807404730 1211107095 2422214190