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224745791842576 = 241801220812
BaseRepresentation
bin110011000110011110110101…
…000101100110100100010000
31002110202111011122201021202201
4303012132311011212210100
5213424213340202430301
62113554442541052544
765224230143404354
oct6306366505464420
91073674148637681
10224745791842576
116567a178425744
12212592a6b57154
13985358b7a42c4
143d6da7bd99464
151aeb24918b201
hexcc67b5166910

224745791842576 has 45 divisors (see below), whose sum is σ = 435896350293999. Its totient is φ = 112256531712000.

The previous prime is 224745791842549. The next prime is 224745791842577. The reversal of 224745791842576 is 675248197547422.

The square root of 224745791842576 is 14991524.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59218011464976 + 165527780377600 = 7695324^2 + 12865760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224745791842499 and 224745791842508.

It is not an unprimeable number, because it can be changed into a prime (224745791842577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107998937856 + ... + 107998939936.

Almost surely, 2224745791842576 is an apocalyptic number.

224745791842576 is the 14991524-th square number.

It is an amenable number.

224745791842576 is a deficient number, since it is larger than the sum of its proper divisors (211150558451423).

224745791842576 is an frugal number, since it uses more digits than its factorization.

224745791842576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 3884 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 73.

The spelling of 224745791842576 in words is "two hundred twenty-four trillion, seven hundred forty-five billion, seven hundred ninety-one million, eight hundred forty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 1801 2081 3602 4162 7204 8324 14408 16648 28816 33296 3243601 3747881 4330561 6487202 7495762 8661122 12974404 14991524 17322244 25948808 29983048 34644488 51897616 59966096 69288976 6749933681 7799340361 13499867362 15598680722 26999734724 31197361444 53999469448 62394722888 107998938896 124789445776 14046611990161 28093223980322 56186447960644 112372895921288 224745791842576