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224466055447136 = 25438313714346091
BaseRepresentation
bin110011000010011010010011…
…011111111100001001100000
31002102202202010100100000202012
4303002122103133330021200
5213410122440143302021
62113222140551212052
765165065051312226
oct6302322337741140
91072682110300665
10224466055447136
1165581579533478
1221213037977028
13983309ab47169
143d6030215ab16
151ae3d2596835b
hexcc26937fc260

224466055447136 has 96 divisors (see below), whose sum is σ = 460983318542208. Its totient is φ = 107511664296960.

The previous prime is 224466055447133. The next prime is 224466055447253. The reversal of 224466055447136 is 631744550664422.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224466055447133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8473451 + ... + 22819541.

It is an arithmetic number, because the mean of its divisors is an integer number (4801909568148).

Almost surely, 2224466055447136 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 224466055447136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230491659271104).

224466055447136 is an abundant number, since it is smaller than the sum of its proper divisors (236517263095072).

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

224466055447136 is a wasteful number, since it uses less digits than its factorization.

224466055447136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14346364 (or 14346356 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 59.

The spelling of 224466055447136 in words is "two hundred twenty-four trillion, four hundred sixty-six billion, fifty-five million, four hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 83 86 137 166 172 274 332 344 548 664 688 1096 1328 1376 2192 2656 3569 4384 5891 7138 11371 11782 14276 22742 23564 28552 45484 47128 57104 90968 94256 114208 181936 188512 363872 488953 977906 1955812 3911624 7823248 14346091 15646496 28692182 57384364 114768728 229537456 459074912 616881913 1190725553 1233763826 1965414467 2381451106 2467527652 3930828934 4762902212 4935055304 7861657868 9525804424 9870110608 15723315736 19051608848 19740221216 31446631472 38103217696 51201198779 62893262944 84512822081 102402397558 163129400761 169025644162 204804795116 326258801522 338051288324 409609590232 652517603044 676102576648 819219180464 1305035206088 1352205153296 1638438360928 2610070412176 2704410306592 5220140824352 7014564232723 14029128465446 28058256930892 56116513861784 112233027723568 224466055447136