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211212 = 22325867
BaseRepresentation
bin110011100100001100
3101201201200
4303210030
523224322
64305500
71536531
oct634414
9351650
10211212
11134761
12a2290
13751a1
1456d88
15428ac
hex3390c

211212 has 18 divisors (see below), whose sum is σ = 533988. Its totient is φ = 70392.

The previous prime is 211199. The next prime is 211213. The reversal of 211212 is 212112.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2112122 = 89221017888, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211194 and 211203.

It is not an unprimeable number, because it can be changed into a prime (211213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2898 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (29666).

2211212 is an apocalyptic number.

It is an amenable number.

211212 is an abundant number, since it is smaller than the sum of its proper divisors (322776).

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

211212 is a wasteful number, since it uses less digits than its factorization.

211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5872 counting only the distinct ones).

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

The square root of 211212 is about 459.5780673618. The cubic root of 211212 is about 59.5533499798.

Adding to 211212 its reverse (212112), we get a palindrome (423324).

Subtracting 211212 from its reverse (212112), we obtain a square (900 = 302).

It can be divided in two parts, 21 and 1212, that multiplied together give a palindrome (25452).

The spelling of 211212 in words is "two hundred eleven thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 5867 11734 17601 23468 35202 52803 70404 105606 211212