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212222002221 = 32972273106949
BaseRepresentation
bin1100010110100101101…
…0101100010000101101
3202021210010010201122100
43011221122230100231
511434112313032341
6241254330005313
721222026153355
oct3055132542055
9667703121570
10212222002221
1182003873389
1235168876839
1317021472858
14a3b33abb65
1557c14483b6
hex31696ac42d

212222002221 has 24 divisors (see below), whose sum is σ = 309842278200. Its totient is φ = 139959853056.

The previous prime is 212222002207. The next prime is 212222002241. The reversal of 212222002221 is 122200222212.

212222002221 is a `hidden beast` number, since 21 + 222 + 200 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70609775625 + 141612226596 = 265725^2 + 376314^2 .

It is not a de Polignac number, because 212222002221 - 25 = 212222002189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212222002194 and 212222002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222002241) 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, 1930855 + ... + 2037803.

It is an arithmetic number, because the mean of its divisors is an integer number (12910094925).

Almost surely, 2212222002221 is an apocalyptic number.

It is an amenable number.

212222002221 is a deficient number, since it is larger than the sum of its proper divisors (97620275979).

212222002221 is a wasteful number, since it uses less digits than its factorization.

212222002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109325 (or 109322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212222002221 its reverse (122200222212), we get a palindrome (334422224433).

The spelling of 212222002221 in words is "two hundred twelve billion, two hundred twenty-two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 97 291 873 2273 6819 20457 106949 220481 320847 661443 962541 1984329 10374053 31122159 93366477 243095077 729285231 2187855693 23580222469 70740667407 212222002221