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211500212 = 227111275407
BaseRepresentation
bin11001001101100…
…11110010110100
3112201222022202012
430212303302310
5413121001322
632553103352
75145502460
oct1446636264
9481868665
10211500212
11a9428270
125a9b7b58
1334a82971
14201374a0
151387bae2
hexc9b3cb4

211500212 has 48 divisors (see below), whose sum is σ = 465174528. Its totient is φ = 81738720.

The previous prime is 211500193. The next prime is 211500217. The reversal of 211500212 is 212005112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211500217) 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, 36413 + ... + 41819.

It is an arithmetic number, because the mean of its divisors is an integer number (9691136).

Almost surely, 2211500212 is an apocalyptic number.

211500212 is a gapful number since it is divisible by the number (22) 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 211500212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232587264).

211500212 is an abundant number, since it is smaller than the sum of its proper divisors (253674316).

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

211500212 is a wasteful number, since it uses less digits than its factorization.

211500212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 211500212 is about 14543.0468609573. The cubic root of 211500212 is about 595.8042575974.

Adding to 211500212 its reverse (212005112), we get a palindrome (423505324).

The spelling of 211500212 in words is "two hundred eleven million, five hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3556 5407 5588 9779 10814 19558 21628 37849 39116 59477 75698 118954 151396 237908 416339 686689 832678 1373378 1665356 2746756 4806823 7553579 9613646 15107158 19227292 30214316 52875053 105750106 211500212