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211422816 = 25321126067
BaseRepresentation
bin11001001101000…
…00111001100000
3112201211101120200
430212200321200
5413111012231
632551305200
75145031023
oct1446407140
9481741520
10211422816
11a9385100
125a97b200
1334a56677
14201171ba
1513863be6
hexc9a0e60

211422816 has 108 divisors (see below), whose sum is σ = 660969036. Its totient is φ = 64056960.

The previous prime is 211422811. The next prime is 211422817. The reversal of 211422816 is 618224112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211422816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211422811) 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 17 ways as a sum of consecutive naturals, for example, 31815 + ... + 37881.

Almost surely, 2211422816 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 211422816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330484518).

211422816 is an abundant number, since it is smaller than the sum of its proper divisors (449546220).

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

211422816 is a wasteful number, since it uses less digits than its factorization.

211422816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6083 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 211422816 is about 14540.3856895201. The cubic root of 211422816 is about 595.7315728912.

Adding to 211422816 its reverse (618224112), we get a palindrome (829646928).

The spelling of 211422816 in words is "two hundred eleven million, four hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 6067 8712 11616 12134 17424 18201 24268 34848 36402 48536 54603 66737 72804 97072 109206 133474 145608 194144 200211 218412 266948 291216 400422 436824 533896 582432 600633 734107 800844 873648 1067792 1201266 1468214 1601688 1747296 2135584 2202321 2402532 2936428 3203376 4404642 4805064 5872856 6406752 6606963 8809284 9610128 11745712 13213926 17618568 19220256 23491424 26427852 35237136 52855704 70474272 105711408 211422816