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224142534 = 232711592741
BaseRepresentation
bin11010101110000…
…10010011000110
3120121202121202100
431113002103012
5424340030114
634124052530
75361115530
oct1527022306
9517677670
10224142534
11105582670
1263094146
133758b125
1421aa8850
1514a27909
hexd5c24c6

224142534 has 96 divisors (see below), whose sum is σ = 615962880. Its totient is φ = 57211200.

The previous prime is 224142517. The next prime is 224142571. The reversal of 224142534 is 435241422.

It is a junction number, because it is equal to n+sod(n) for n = 224142498 and 224142507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80404 + ... + 83144.

It is an arithmetic number, because the mean of its divisors is an integer number (6416280).

Almost surely, 2224142534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224142534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307981440).

224142534 is an abundant number, since it is smaller than the sum of its proper divisors (391820346).

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

224142534 is a wasteful number, since it uses less digits than its factorization.

224142534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2823 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 224142534 is about 14971.3905165820. The cubic root of 224142534 is about 607.4465816973.

Adding to 224142534 its reverse (435241422), we get a palindrome (659383956).

It can be divided in two parts, 224142 and 534, that added together give a square (224676 = 4742).

The spelling of 224142534 in words is "two hundred twenty-four million, one hundred forty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 59 63 66 77 99 118 126 154 177 198 231 354 413 462 531 649 693 826 1062 1239 1298 1386 1947 2478 2741 3717 3894 4543 5482 5841 7434 8223 9086 11682 13629 16446 19187 24669 27258 30151 38374 40887 49338 57561 60302 81774 90453 115122 161719 172683 180906 211057 271359 323438 345366 422114 485157 542718 633171 970314 1132033 1266342 1455471 1778909 1899513 2264066 2910942 3396099 3557818 3799026 5336727 6792198 10188297 10673454 12452363 16010181 20376594 24904726 32020362 37357089 74714178 112071267 224142534