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2213144124 = 2234371193313
BaseRepresentation
bin1000001111101001…
…1110011000111100
312201020102100222220
42003322132120330
514013031102444
61003335205340
7105562262142
oct20372363074
95636370886
102213144124
11a36297a34
12519216850
13293684349
1416dcdd592
15ce466619
hex83e9e63c

2213144124 has 96 divisors (see below), whose sum is σ = 5403492864. Its totient is φ = 704471040.

The previous prime is 2213144123. The next prime is 2213144137. The reversal of 2213144124 is 4214413122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213144094 and 2213144103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213144123) by changing a digit.

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, 7070592 + ... + 7070904.

It is an arithmetic number, because the mean of its divisors is an integer number (56286384).

Almost surely, 22213144124 is an apocalyptic number.

It is an amenable number.

2213144124 is an abundant number, since it is smaller than the sum of its proper divisors (3190348740).

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

2213144124 is a wasteful number, since it uses less digits than its factorization.

2213144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2213144124 is about 47044.0657681710. The cubic root of 2213144124 is about 1303.1764774976.

Adding to 2213144124 its reverse (4214413122), we get a palindrome (6427557246).

The spelling of 2213144124 in words is "two billion, two hundred thirteen million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 71 86 129 142 172 193 213 258 284 313 386 426 516 579 626 772 852 939 1158 1252 1878 2316 3053 3756 6106 8299 9159 12212 13459 13703 16598 18318 22223 24897 26918 27406 33196 36636 40377 41109 44446 49794 53836 54812 60409 66669 80754 82218 88892 99588 120818 133338 161508 164436 181227 241636 266676 362454 589229 724908 955589 1178458 1767687 1911178 2356916 2597587 2866767 3535374 3822356 4289039 5195174 5733534 7070748 7792761 8578078 10390348 11467068 12867117 15585522 17156156 25734234 31171044 51468468 184428677 368857354 553286031 737714708 1106572062 2213144124