Search a number
-
+
224131202442104 = 232931358715713347
BaseRepresentation
bin110010111101100010011100…
…101101000110001101111000
31002101120201210212022220020212
4302331202130231012031320
5213334131200311121404
62112404241501210252
765131642064606156
oct6275423455061570
91071521725286225
10224131202442104
1165462566765691
122117a166260988
13980a6353b0a69
143d4c0182543d6
151ada2785b306e
hexcbd89cb46378

224131202442104 has 128 divisors (see below), whose sum is σ = 437277849926400. Its totient is φ = 107571152532480.

The previous prime is 224131202442053. The next prime is 224131202442109. The reversal of 224131202442104 is 401244202131422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224131202442109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66964803359 + ... + 66964806705.

It is an arithmetic number, because the mean of its divisors is an integer number (3416233202550).

Almost surely, 2224131202442104 is an apocalyptic number.

It is an amenable number.

224131202442104 is a deficient number, since it is larger than the sum of its proper divisors (213146647484296).

224131202442104 is a wasteful number, since it uses less digits than its factorization.

224131202442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 224131202442104 its reverse (401244202131422), we get a palindrome (625375404573526).

The spelling of 224131202442104 in words is "two hundred twenty-four trillion, one hundred thirty-one billion, two hundred two million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 29 58 116 232 313 587 626 1174 1252 1571 2348 2504 3142 3347 4696 6284 6694 9077 12568 13388 17023 18154 26776 34046 36308 45559 68092 72616 91118 97063 136184 182236 183731 194126 364472 367462 388252 491723 734924 776504 922177 983446 1047611 1469848 1844354 1964689 1966892 2095222 3688708 3929378 3933784 4190444 5258137 5328199 7377416 7858756 8380888 10516274 10656398 14259967 15717512 21032548 21312796 26743133 28519934 30380719 42065096 42625592 53486266 56975981 57039868 60761438 106972532 113951962 114079736 121522876 152485973 213945064 227903924 243045752 288641401 304971946 455807848 577282802 609943892 614947657 1154565604 1219887784 1229895314 1645796881 2309131208 2459790628 3086526419 3291593762 4919581256 6173052838 6583187524 8370600629 12346105676 13166375048 16741201258 17833482053 24692211352 33482402516 35666964106 47728109549 66964805032 71333928212 89509266151 95456219098 142667856424 179018532302 190912438196 358037064604 381824876392 716074129208 966082769147 1932165538294 3864331076588 7728662153176 28016400305263 56032800610526 112065601221052 224131202442104