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224402241144 = 233175989104743
BaseRepresentation
bin1101000011111101101…
…0100111011001111000
3210110012222101222022110
43100333122213121320
512134033433204034
6251031114452320
722132616402124
oct3207732473170
9713188358273
10224402241144
1187194240144
12375a7a340a0
1318212a62c13
14ac0ad06584
155c8591cde9
hex343f6a7678

224402241144 has 128 divisors (see below), whose sum is σ = 610867008000. Its totient is φ = 68429205504.

The previous prime is 224402241139. The next prime is 224402241181. The reversal of 224402241144 is 441142204422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090037 + ... + 2194779.

It is an arithmetic number, because the mean of its divisors is an integer number (4772398500).

Almost surely, 2224402241144 is an apocalyptic number.

224402241144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224402241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305433504000).

224402241144 is an abundant number, since it is smaller than the sum of its proper divisors (386464766856).

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

224402241144 is a wasteful number, since it uses less digits than its factorization.

224402241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104917 (or 104913 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 224402241144 its reverse (441142204422), we get a palindrome (665544445566).

The spelling of 224402241144 in words is "two hundred twenty-four billion, four hundred two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 89 102 118 136 177 178 204 236 267 354 356 408 472 534 708 712 1003 1068 1416 1513 2006 2136 3009 3026 4012 4539 5251 6018 6052 8024 9078 10502 12036 12104 15753 18156 21004 24072 31506 36312 42008 63012 89267 104743 126024 178534 209486 267801 314229 357068 418972 535602 628458 714136 837944 1071204 1256916 1780631 2142408 2513832 3561262 5341893 6179837 7122524 9322127 10683786 12359674 14245048 18539511 18644254 21367572 24719348 27966381 37079022 37288508 42735144 49438696 55932762 74158044 74577016 105057229 111865524 148316088 158476159 210114458 223731048 315171687 316952318 420228916 475428477 550005493 630343374 633904636 840457832 950856954 1100010986 1260686748 1267809272 1650016479 1901713908 2200021972 2521373496 3300032958 3803427816 4400043944 6600065916 9350093381 13200131832 18700186762 28050280143 37400373524 56100560286 74800747048 112201120572 224402241144