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212316456 = 233114359317
BaseRepresentation
bin11001010011110…
…11000100101000
3112210111210102110
430221323010220
5413323111311
633022402320
75155442262
oct1451730450
9483453373
10212316456
11a9935550
125b1303a0
1334caa351
14202aab32
151398d8a6
hexca7b128

212316456 has 128 divisors (see below), whose sum is σ = 604454400. Its totient is φ = 61582080.

The previous prime is 212316389. The next prime is 212316479. The reversal of 212316456 is 654613212.

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 31 ways as a sum of consecutive naturals, for example, 669610 + ... + 669926.

It is an arithmetic number, because the mean of its divisors is an integer number (4722300).

Almost surely, 2212316456 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 212316456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302227200).

212316456 is an abundant number, since it is smaller than the sum of its proper divisors (392137944).

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

212316456 is a wasteful number, since it uses less digits than its factorization.

212316456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 212316456 is about 14571.0828698488. The cubic root of 212316456 is about 596.5697373140.

Adding to 212316456 its reverse (654613212), we get a palindrome (866929668).

The spelling of 212316456 in words is "two hundred twelve million, three hundred sixteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 59 66 86 88 118 129 132 172 177 236 258 264 317 344 354 472 473 516 634 649 708 946 951 1032 1268 1298 1416 1419 1892 1902 1947 2536 2537 2596 2838 3487 3784 3804 3894 5074 5192 5676 6974 7608 7611 7788 10148 10461 11352 13631 13948 15222 15576 18703 20296 20922 27262 27896 27907 30444 37406 40893 41844 54524 55814 56109 60888 74812 81786 83688 83721 109048 111628 112218 149624 149941 163572 167442 205733 223256 224436 299882 327144 334884 411466 448872 449823 599764 617199 669768 804229 822932 899646 1199528 1234398 1608458 1645864 1799292 2412687 2468796 3216916 3598584 4825374 4937592 6433832 8846519 9650748 17693038 19301496 26539557 35386076 53079114 70772152 106158228 212316456