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224213131324 = 227134383172589
BaseRepresentation
bin1101000011010000100…
…1001110000000111100
3210102201210120012102001
43100310021032000330
512133142030200244
6251000241312044
722125132112420
oct3206411160074
9712653505361
10224213131324
11870a7516136
1237554635624
13181b281c710
14abcdb5ab80
155c740155d4
hex343424e03c

224213131324 has 96 divisors (see below), whose sum is σ = 500107829760. Its totient is φ = 85592602368.

The previous prime is 224213131321. The next prime is 224213131327. The reversal of 224213131324 is 423131312422.

It is an interprime number because it is at equal distance from previous prime (224213131321) and next prime (224213131327).

It is a super-2 number, since 2×2242131313242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224213131292 and 224213131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224213131321) 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, 1212822 + ... + 1385410.

It is an arithmetic number, because the mean of its divisors is an integer number (5209456560).

Almost surely, 2224213131324 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 224213131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250053914880).

224213131324 is an abundant number, since it is smaller than the sum of its proper divisors (275894698436).

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

224213131324 is a wasteful number, since it uses less digits than its factorization.

224213131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172739 (or 172737 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 224213131324 its reverse (423131312422), we get a palindrome (647344443746).

The spelling of 224213131324 in words is "two hundred twenty-four billion, two hundred thirteen million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 43 52 83 86 91 166 172 182 301 332 364 559 581 602 1079 1118 1162 1204 2158 2236 2324 3569 3913 4316 7138 7553 7826 14276 15106 15652 24983 30212 46397 49966 92794 99932 172589 185588 324779 345178 649558 690356 1208123 1299116 2243657 2416246 4487314 4832492 7421327 8974628 14324887 14842654 15705599 28649774 29685308 31411198 51949289 57299548 62822396 96477251 100274209 103898578 186223531 192954502 200548418 207797156 372447062 385909004 401096836 615970141 675340757 744894124 1231940282 1303564717 1350681514 2463880564 2607129434 2701363028 4311790987 5214258868 8007611833 8623581974 16015223666 17247163948 32030447332 56053282831 112106565662 224213131324