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212534322 = 237112133217
BaseRepresentation
bin11001010101100…
…00010000110010
3112210220212021120
430222300100302
5413402044242
633031203110
75160340410
oct1452602062
9483825246
10212534322
11a9a74200
125b216496
1335055570
14203262b0
15139d31ec
hexcab0432

212534322 has 96 divisors (see below), whose sum is σ = 575223936. Its totient is φ = 50941440.

The previous prime is 212534321. The next prime is 212534339. The reversal of 212534322 is 223435212.

It is a junction number, because it is equal to n+sod(n) for n = 212534292 and 212534301.

It is not an unprimeable number, because it can be changed into a prime (212534321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64458 + ... + 67674.

It is an arithmetic number, because the mean of its divisors is an integer number (5991916).

Almost surely, 2212534322 is an apocalyptic number.

212534322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212534322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287611968).

212534322 is an abundant number, since it is smaller than the sum of its proper divisors (362689614).

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

212534322 is a wasteful number, since it uses less digits than its factorization.

212534322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3253 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 212534322 is about 14578.5569244696. The cubic root of 212534322 is about 596.7737218656.

Adding to 212534322 its reverse (223435212), we get a palindrome (435969534).

The spelling of 212534322 in words is "two hundred twelve million, five hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 3217 4719 5082 6006 6434 9438 9651 11011 19302 22022 22519 33033 35387 41821 45038 66066 67557 70774 83642 106161 125463 135114 212322 247709 250926 292747 389257 460031 495418 585494 743127 778514 878241 920062 1167771 1380093 1486254 1756482 2335542 2724799 2760186 3220217 5060341 5449598 6440434 8174397 9660651 10120682 15181023 16348794 19321302 30362046 35422387 70844774 106267161 212534322