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224402431221 = 32172081704797
BaseRepresentation
bin1101000011111101101…
…1010101110011110101
3210110012222202122001100
43100333123111303311
512134034010244341
6251031122520313
722132621123233
oct3207733256365
9713188678040
10224402431221
118719435aa31
12375a7b06099
1318212acb5a7
14ac0ad55953
155c859593b6
hex343f6d5cf5

224402431221 has 24 divisors (see below), whose sum is σ = 343369128024. Its totient is φ = 140733665280.

The previous prime is 224402431219. The next prime is 224402431237. The reversal of 224402431221 is 122134204422.

It is a happy number.

224402431221 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 0 + 2 + 431 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2589690321 + 221812740900 = 50889^2 + 470970^2 .

It is not a de Polignac number, because 224402431221 - 21 = 224402431219 is a prime.

It is a super-2 number, since 2×2244024312212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224402431321) 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, 34006 + ... + 670791.

It is an arithmetic number, because the mean of its divisors is an integer number (14307047001).

Almost surely, 2224402431221 is an apocalyptic number.

It is an amenable number.

224402431221 is a deficient number, since it is larger than the sum of its proper divisors (118966696803).

224402431221 is a wasteful number, since it uses less digits than its factorization.

224402431221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706901 (or 706898 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224402431221 its reverse (122134204422), we get a palindrome (346536635643).

The spelling of 224402431221 in words is "two hundred twenty-four billion, four hundred two million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 2081 6243 18729 35377 106131 318393 704797 2114391 6343173 11981549 35944647 107833941 1466682557 4400047671 13200143013 24933603469 74800810407 224402431221