Search a number
-
+
2214403314012 = 223353479807647
BaseRepresentation
bin100000001110010100101…
…110010001000101011100
321211200202120111200212000
4200032110232101011130
5242240044222022022
64413141032042300
7315661656414141
oct40162456210534
97750676450760
102214403314012
11784139a39a8a
122b91bb233390
13130a818c4256
147926b8323c8
153c905ba06ac
hex20394b9115c

2214403314012 has 96 divisors (see below), whose sum is σ = 5861586124800. Its totient is φ = 722694563136.

The previous prime is 2214403314001. The next prime is 2214403314023. The reversal of 2214403314012 is 2104133044122.

2214403314012 is a `hidden beast` number, since 2 + 214 + 40 + 3 + 3 + 1 + 401 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2214403314001) and next prime (2214403314023).

It is a super-2 number, since 2×22144033140122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2337973 + ... + 3145619.

It is an arithmetic number, because the mean of its divisors is an integer number (61058188800).

Almost surely, 22214403314012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214403314012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930793062400).

2214403314012 is an abundant number, since it is smaller than the sum of its proper divisors (3647182810788).

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

2214403314012 is a wasteful number, since it uses less digits than its factorization.

2214403314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808192 (or 808184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2214403314012 its reverse (2104133044122), we get a palindrome (4318536358134).

The spelling of 2214403314012 in words is "two trillion, two hundred fourteen billion, four hundred three million, three hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 479 636 954 958 1431 1437 1908 1916 2862 2874 4311 5724 5748 8622 12933 17244 25387 25866 50774 51732 76161 101548 152322 228483 304644 456966 685449 807647 913932 1370898 1615294 2422941 2741796 3230588 4845882 7268823 9691764 14537646 21806469 29075292 42805291 43612938 85610582 87225876 128415873 171221164 256831746 385247619 386862913 513663492 770495238 773725826 1155742857 1160588739 1540990476 1547451652 2311485714 2321177478 3481766217 4622971428 4642354956 6963532434 10445298651 13927064868 20503734389 20890597302 41007468778 41781194604 61511203167 82014937556 123022406334 184533609501 246044812668 369067219002 553600828503 738134438004 1107201657006 2214403314012