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222242401431 = 3422318736569
BaseRepresentation
bin1100111011111010101…
…1011110110010010111
3210020122110021202020000
43032332223132302113
512120123023321211
6250032521542343
722025242146261
oct3167653366227
9706573252200
10222242401431
1186286050646
12370a46449b3
1317c5a45305b
14aa84120b31
155baaed5656
hex33beadec97

222242401431 has 40 divisors (see below), whose sum is σ = 333709326720. Its totient is φ = 147396008448.

The previous prime is 222242401397. The next prime is 222242401453. The reversal of 222242401431 is 134104242222.

It is a happy number.

222242401431 is a `hidden beast` number, since 2 + 2 + 224 + 2 + 4 + 0 + 1 + 431 = 666.

It is not a de Polignac number, because 222242401431 - 213 = 222242393239 is a prime.

It is a super-2 number, since 2×2222424014312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222242401395 and 222242401404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222242401631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33828715 + ... + 33835283.

It is an arithmetic number, because the mean of its divisors is an integer number (8342733168).

Almost surely, 2222242401431 is an apocalyptic number.

222242401431 is a deficient number, since it is larger than the sum of its proper divisors (111466925289).

222242401431 is a wasteful number, since it uses less digits than its factorization.

222242401431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8668 counting only the distinct ones).

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

Adding to 222242401431 its reverse (134104242222), we get a palindrome (356346643653).

The spelling of 222242401431 in words is "two hundred twenty-two billion, two hundred forty-two million, four hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 223 669 1873 2007 5619 6021 6569 16857 18063 19707 50571 59121 151713 177363 417679 532089 1253037 1464887 3759111 4394661 11277333 12303737 13183983 33831999 36911211 39551949 110733633 118655847 332200899 996602697 2743733351 8231200053 24693600159 74080800477 222242401431