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210114212 = 227111813769
BaseRepresentation
bin11001000011000…
…01011010100100
3112122100220111212
430201201122210
5412242123322
632503250552
75130640610
oct1441413244
9478326455
10210114212
11a8670a10
125a449a58
13346b8b49
141dc96340
15136a60e2
hexc8616a4

210114212 has 48 divisors (see below), whose sum is σ = 461086080. Its totient is φ = 81388800.

The previous prime is 210114197. The next prime is 210114241. The reversal of 210114212 is 212411012.

It is a happy number.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53864 + ... + 57632.

It is an arithmetic number, because the mean of its divisors is an integer number (9605960).

Almost surely, 2210114212 is an apocalyptic number.

210114212 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 210114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230543040).

210114212 is an abundant number, since it is smaller than the sum of its proper divisors (250971868).

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

210114212 is a wasteful number, since it uses less digits than its factorization.

210114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 210114212 is about 14495.3168989160. The cubic root of 210114212 is about 594.4999324478.

Adding to 210114212 its reverse (212411012), we get a palindrome (422525224).

The spelling of 210114212 in words is "two hundred ten million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 1267 1991 2534 3769 3982 5068 7538 7964 13937 15076 26383 27874 41459 52766 55748 82918 105532 165836 290213 580426 682189 1160852 1364378 2728756 4775323 7504079 9550646 15008158 19101292 30016316 52528553 105057106 210114212