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221212210221 = 342994172929
BaseRepresentation
bin1100111000000101000…
…1100111010000101101
3210010222122210121120000
43032001101213100231
512111020311211341
6245342401214513
721660562522332
oct3160121472055
9703878717500
10221212210221
11858a7586752
1236a57631439
1317b24ba4b62
14a9c7394989
155b4a83d8b6
hex338146742d

221212210221 has 20 divisors (see below), whose sum is σ = 341847735900. Its totient is φ = 142389467136.

The previous prime is 221212210213. The next prime is 221212210259. The reversal of 221212210221 is 122012212122.

It is a happy number.

221212210221 is a `hidden beast` number, since 2 + 21 + 212 + 210 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71791307721 + 149420902500 = 267939^2 + 386550^2 .

It is not a de Polignac number, because 221212210221 - 23 = 221212210213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221212210194 and 221212210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212210291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47084116 + ... + 47088813.

It is an arithmetic number, because the mean of its divisors is an integer number (17092386795).

Almost surely, 2221212210221 is an apocalyptic number.

It is an amenable number.

221212210221 is a deficient number, since it is larger than the sum of its proper divisors (120635525679).

221212210221 is an equidigital number, since it uses as much as digits as its factorization.

221212210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94172970 (or 94172961 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221212210221 its reverse (122012212122), we get a palindrome (343224422343).

The spelling of 221212210221 in words is "two hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 94172929 282518787 847556361 2542669083 2731014941 7628007249 8193044823 24579134469 73737403407 221212210221