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211212664 = 231319891201
BaseRepresentation
bin11001001011011…
…01100101111000
3112201102201022021
430211231211320
5413032301124
632543004224
75143164235
oct1445554570
9481381267
10211212664
11a9251223
125a899674
13349b1b10
14200a078c
15138217e4
hexc96d978

211212664 has 64 divisors (see below), whose sum is σ = 454356000. Its totient is φ = 91238400.

The previous prime is 211212653. The next prime is 211212667. The reversal of 211212664 is 466212112.

It is a happy number.

It is a super-2 number, since 2×2112126642 = 89221578867953792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175264 + ... + 176464.

Almost surely, 2211212664 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 211212664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227178000).

211212664 is an abundant number, since it is smaller than the sum of its proper divisors (243143336).

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

211212664 is a wasteful number, since it uses less digits than its factorization.

211212664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 211212664 is about 14533.1573995467. The cubic root of 211212664 is about 595.5341238688.

Adding to 211212664 its reverse (466212112), we get a palindrome (677424776).

The spelling of 211212664 in words is "two hundred eleven million, two hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 89 104 152 178 247 356 494 712 988 1157 1201 1691 1976 2314 2402 3382 4628 4804 6764 9256 9608 13528 15613 21983 22819 31226 43966 45638 62452 87932 91276 106889 124904 175864 182552 213778 296647 427556 593294 855112 1186588 1389557 2030891 2373176 2779114 4061782 5558228 8123564 11116456 16247128 26401583 52803166 105606332 211212664