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216211212 = 22327857981
BaseRepresentation
bin11001110001100…
…01111100001100
3120001211200000200
430320301330030
5420322224322
633242053500
75233523250
oct1470617414
9501750020
10216211212
11101055758
12604aa290
1335a42039
1420a02260
1513eac8ac
hexce31f0c

216211212 has 36 divisors (see below), whose sum is σ = 624610896. Its totient is φ = 61774560.

The previous prime is 216211199. The next prime is 216211213. The reversal of 216211212 is 212112612.

216211212 is a `hidden beast` number, since 21 + 621 + 1 + 21 + 2 = 666.

216211212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (216211213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428739 + ... + 429242.

Almost surely, 2216211212 is an apocalyptic number.

It is an amenable number.

216211212 is an abundant number, since it is smaller than the sum of its proper divisors (408399684).

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

216211212 is a wasteful number, since it uses less digits than its factorization.

216211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857998 (or 857993 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 216211212 is about 14704.1222791434. The cubic root of 216211212 is about 600.1955029574.

Adding to 216211212 its reverse (212112612), we get a palindrome (428323824).

The spelling of 216211212 in words is "two hundred sixteen million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 857981 1715962 2573943 3431924 5147886 6005867 7721829 10295772 12011734 15443658 18017601 24023468 30887316 36035202 54052803 72070404 108105606 216211212