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2011212 = 2232723347
BaseRepresentation
bin111101011000001001100
310210011212100
413223001030
51003324322
6111035100
723044410
oct7530114
93704770
102011212
111154065
1280ba90
13555588
143a4d40
1529adac
hex1eb04c

2011212 has 72 divisors (see below), whose sum is σ = 6080256. Its totient is φ = 548064.

The previous prime is 2011211. The next prime is 2011241. The reversal of 2011212 is 2121102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2011194 and 2011203.

It is not an unprimeable number, because it can be changed into a prime (2011211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5623 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (84448).

22011212 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 2011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040128).

2011212 is an abundant number, since it is smaller than the sum of its proper divisors (4069044).

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

2011212 is a wasteful number, since it uses less digits than its factorization.

2011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011212 is about 1418.1720629035. The cubic root of 2011212 is about 126.2271036477.

Adding to 2011212 its reverse (2121102), we get a palindrome (4132314).

The spelling of 2011212 in words is "two million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 347 414 483 644 694 828 966 1041 1388 1449 1932 2082 2429 2898 3123 4164 4858 5796 6246 7287 7981 9716 12492 14574 15962 21861 23943 29148 31924 43722 47886 55867 71829 87444 95772 111734 143658 167601 223468 287316 335202 502803 670404 1005606 2011212