Search a number
-
+
224451166104216 = 233329207591726091
BaseRepresentation
bin110011000010001100011100…
…000001100110101010011000
31002102201022200200102001001000
4303002030130001212222120
5213404401442010313331
62113211235305025000
765164030064062212
oct6302143401465230
91072638620361030
10224451166104216
1165576228921797
1221210181485160
13983186720358c
143d5d6cc8dd5b2
151ae37537110e6
hexcc231c066a98

224451166104216 has 128 divisors (see below), whose sum is σ = 645006058560000. Its totient is φ = 72233635259520.

The previous prime is 224451166104199. The next prime is 224451166104259. The reversal of 224451166104216 is 612401661154422.

224451166104216 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 5 + 1 + 1 + 6 + 610 + 4 + 21 + 6 = 666.

It is a super-2 number, since 2×2244511661042162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129171331 + ... + 130897421.

It is an arithmetic number, because the mean of its divisors is an integer number (5039109832500).

Almost surely, 2224451166104216 is an apocalyptic number.

It is an amenable number.

224451166104216 is an abundant number, since it is smaller than the sum of its proper divisors (420554892455784).

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

224451166104216 is a wasteful number, since it uses less digits than its factorization.

224451166104216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746894 (or 1746884 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 224451166104216 in words is "two hundred twenty-four trillion, four hundred fifty-one billion, one hundred sixty-six million, one hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 20759 41518 62277 83036 124554 166072 186831 249108 373662 498216 560493 602011 747324 1120986 1204022 1494648 1726091 1806033 2241972 2408044 3452182 3612066 4483944 4816088 5178273 5418099 6904364 7224132 10356546 10836198 13808728 14448264 15534819 16254297 20713092 21672396 31069638 32508594 41426184 43344792 46604457 50056639 62139276 65017188 93208914 100113278 124278552 130034376 150169917 186417828 200226556 300339834 372835656 400453112 450509751 600679668 901019502 1201359336 1351529253 1802039004 2703058506 3604078008 5406117012 10812234024 35831923069 71663846138 107495769207 143327692276 214991538414 286655384552 322487307621 429983076828 644974615242 859966153656 967461922863 1039125769001 1289949230484 1934923845726 2078251538002 2579898460968 3117377307003 3869847691452 4156503076004 6234754614006 7739695382904 8313006152008 9352131921009 12469509228012 18704263842018 24939018456024 28056395763027 37408527684036 56112791526054 74817055368072 112225583052108 224451166104216