Search a number
-
+
2214425532 = 2231171277853
BaseRepresentation
bin1000001111111101…
…0111001110111100
312201022211110202110
42003333113032330
514013343104112
61003422454020
7105606210054
oct20377271674
95638743673
102214425532
11a36a92750
12519734310
13293a12687
14170154564
15ce61b13c
hex83fd73bc

2214425532 has 96 divisors (see below), whose sum is σ = 5743471104. Its totient is φ = 658425600.

The previous prime is 2214425527. The next prime is 2214425561. The reversal of 2214425532 is 2355244122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214425532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2595618 + ... + 2596470.

It is an arithmetic number, because the mean of its divisors is an integer number (59827824).

Almost surely, 22214425532 is an apocalyptic number.

2214425532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214425532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871735552).

2214425532 is an abundant number, since it is smaller than the sum of its proper divisors (3529045572).

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

2214425532 is a wasteful number, since it uses less digits than its factorization.

2214425532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2214425532 is about 47057.6830283855. The cubic root of 2214425532 is about 1303.4279415511.

Adding to 2214425532 its reverse (2355244122), we get a palindrome (4569669654).

The spelling of 2214425532 in words is "two billion, two hundred fourteen million, four hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 277 284 426 554 781 831 852 853 1108 1562 1662 1706 2343 2559 3047 3124 3324 3412 4686 5118 6094 9141 9372 9383 10236 12188 18282 18766 19667 28149 36564 37532 39334 56298 59001 60563 78668 112596 118002 121126 181689 216337 236004 236281 242252 363378 432674 472562 649011 666193 708843 726756 865348 945124 1298022 1332386 1417686 1998579 2596044 2599091 2664772 2835372 3997158 5198182 7797273 7994316 10396364 15594546 16775951 31189092 33551902 50327853 67103804 100655706 184535461 201311412 369070922 553606383 738141844 1107212766 2214425532