Search a number
-
+
2214503334 = 233176313823
BaseRepresentation
bin1000001111111110…
…1010001110100110
312201022222102111000
42003333222032212
514013403101314
61003424254130
7105606652641
oct20377521646
95638872430
102214503334
11a3703614a
12519771346
13293a3bc04
14170174a58
15ce634209
hex83fea3a6

2214503334 has 64 divisors (see below), whose sum is σ = 5220218880. Its totient is φ = 693463680.

The previous prime is 2214503309. The next prime is 2214503339. The reversal of 2214503334 is 4333054122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214503298 and 2214503307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214503339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577347 + ... + 581169.

It is an arithmetic number, because the mean of its divisors is an integer number (81565920).

Almost surely, 22214503334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214503334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610109440).

2214503334 is an abundant number, since it is smaller than the sum of its proper divisors (3005715546).

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

2214503334 is a wasteful number, since it uses less digits than its factorization.

2214503334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2214503334 is about 47058.5096874094. The cubic root of 2214503334 is about 1303.4432063247.

Adding to 2214503334 its reverse (4333054122), we get a palindrome (6547557456).

The spelling of 2214503334 in words is "two billion, two hundred fourteen million, five hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 631 918 1262 1893 3786 3823 5679 7646 10727 11358 11469 17037 21454 22938 32181 34074 34407 64362 64991 68814 96543 103221 129982 193086 194973 206442 289629 389946 579258 584919 1169838 1754757 2412313 3509514 4824626 7236939 14473878 21710817 41009321 43421634 65132451 82018642 123027963 130264902 246055926 369083889 738167778 1107251667 2214503334