Search a number
-
+
224011432443222 = 232374327728238897
BaseRepresentation
bin110010111011110010111001…
…110110110011110101010110
31002101011021122212221112222100
4302323302321312303311112
5213330200403201140342
62112233233102342530
765120202060453024
oct6273627166636526
91071137585845870
10224011432443222
1165416795714836
122115aabb58aa46
1397cc258a56338
143d462d569d714
151ad70b88e0e4c
hexcbbcb9db3d56

224011432443222 has 96 divisors (see below), whose sum is σ = 511909772897952. Its totient is φ = 70706581005312.

The previous prime is 224011432443221. The next prime is 224011432443251. The reversal of 224011432443222 is 222344234110422.

224011432443222 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 1 + 4 + 324 + 4 + 322 + 2 = 666.

It is a super-2 number, since 2×2240114324432222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224011432443221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6186723 + ... + 22052174.

It is an arithmetic number, because the mean of its divisors is an integer number (5332393467687).

Almost surely, 2224011432443222 is an apocalyptic number.

224011432443222 is an abundant number, since it is smaller than the sum of its proper divisors (287898340454730).

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

224011432443222 is a wasteful number, since it uses less digits than its factorization.

224011432443222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28239262 (or 28239259 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 224011432443222 its reverse (222344234110422), we get a palindrome (446355666553644).

The spelling of 224011432443222 in words is "two hundred twenty-four trillion, eleven billion, four hundred thirty-two million, four hundred forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 277 333 387 554 666 774 831 1591 1662 2493 3182 4773 4986 9546 10249 11911 14319 20498 23822 28638 30747 35733 61494 71466 92241 107199 184482 214398 440707 881414 1322121 2644242 3966363 7932726 28238897 56477794 84716691 169433382 254150073 508300146 1044839189 1214272571 2089678378 2428545142 3134517567 3642817713 6269035134 7285635426 7822174469 9403552701 10928453139 15644348938 18807105402 21856906278 23466523407 44928085127 46933046814 70399570221 89856170254 134784255381 140799140442 269568510762 289420455353 336353502167 404352766143 578840910706 672707004334 808705532286 868261366059 1009060506501 1736522732118 2018121013002 2604784098177 3027181519503 5209568196354 6054363039006 12445079580179 24890159160358 37335238740537 74670477481074 112005716221611 224011432443222