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211114704 = 24317293883
BaseRepresentation
bin11001001010101…
…01101011010000
3112201020201221010
430211111223100
5413021132304
632540530520
75142305523
oct1445255320
9481221833
10211114704
11a9194669
125a850a40
1334979358
1420076bba
1513802789
hexc955ad0

211114704 has 80 divisors (see below), whose sum is σ = 580087872. Its totient is φ = 65931264.

The previous prime is 211114669. The next prime is 211114727. The reversal of 211114704 is 407411112.

211114704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 238647 + ... + 239529.

Almost surely, 2211114704 is an apocalyptic number.

211114704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211114704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290043936).

211114704 is an abundant number, since it is smaller than the sum of its proper divisors (368973168).

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

211114704 is a wasteful number, since it uses less digits than its factorization.

211114704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 211114704 is about 14529.7867843957. The cubic root of 211114704 is about 595.4420404633.

Adding to 211114704 its reverse (407411112), we get a palindrome (618525816).

The spelling of 211114704 in words is "two hundred eleven million, one hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 293 408 586 816 879 883 1172 1758 1766 2344 2649 3516 3532 4688 4981 5298 7032 7064 9962 10596 14064 14128 14943 15011 19924 21192 29886 30022 39848 42384 45033 59772 60044 79696 90066 119544 120088 180132 239088 240176 258719 360264 517438 720528 776157 1034876 1552314 2069752 3104628 4139504 4398223 6209256 8796446 12418512 13194669 17592892 26389338 35185784 52778676 70371568 105557352 211114704