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224144034224 = 24114179393191
BaseRepresentation
bin1101000011000000000…
…1101000100110110000
3210102112222112201000012
43100300001220212300
512133021333043344
6250545332314052
722123332566225
oct3206001504660
9712488481005
10224144034224
11870715114a0
1237535472928
13181a1408b66
14abc48d194c
155c6ce1729e
hex34300689b0

224144034224 has 80 divisors (see below), whose sum is σ = 491458544640. Its totient is φ = 98140224000.

The previous prime is 224144034199. The next prime is 224144034293. The reversal of 224144034224 is 422430441422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373469 + ... + 766659.

It is an arithmetic number, because the mean of its divisors is an integer number (6143231808).

Almost surely, 2224144034224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224144034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245729272320).

224144034224 is an abundant number, since it is smaller than the sum of its proper divisors (267314510416).

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

224144034224 is a wasteful number, since it uses less digits than its factorization.

224144034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393330 (or 393324 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 224144034224 its reverse (422430441422), we get a palindrome (646574475646).

The spelling of 224144034224 in words is "two hundred twenty-four billion, one hundred forty-four million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 79 82 88 158 164 176 316 328 451 632 656 869 902 1264 1738 1804 3239 3476 3608 6478 6952 7216 12956 13904 25912 35629 51824 71258 142516 285032 393191 570064 786382 1572764 3145528 4325101 6291056 8650202 16120831 17300404 31062089 32241662 34600808 62124178 64483324 69201616 124248356 128966648 177329141 248496712 257933296 341682979 354658282 496993424 683365958 709316564 1273545649 1366731916 1418633128 2547091298 2733463832 2837266256 5094182596 5466927664 10188365192 14009002139 20376730384 28018004278 56036008556 112072017112 224144034224