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243214676224 = 2813223712
BaseRepresentation
bin1110001010000010111…
…0010111000100000000
3212020210001022200202021
43202200232113010000
512441100424114344
6303421542331224
723400041431462
oct3424056270400
9766701280667
10243214676224
1194168387053
123b178129b14
1319c203ab400
14bab35b8132
1564d72a7b84
hex38a0b97100

243214676224 has 81 divisors (see below), whose sum is σ = 525918327669. Its totient is φ = 112205583360.

The previous prime is 243214676213. The next prime is 243214676239. The reversal of 243214676224 is 422676412342.

The square root of 243214676224 is 493168.

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

It can be written as a sum of positive squares in only one way, i.e., 35978502400 + 207236173824 = 189680^2 + 455232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102577759 + ... + 102580129.

Almost surely, 2243214676224 is an apocalyptic number.

243214676224 is the 493168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243214676224

243214676224 is an abundant number, since it is smaller than the sum of its proper divisors (282703651445).

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

243214676224 is an frugal number, since it uses more digits than its factorization.

243214676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 2386 counting only the distinct ones).

The product of its digits is 774144, while the sum is 43.

The spelling of 243214676224 in words is "two hundred forty-three billion, two hundred fourteen million, six hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2371 2704 3328 4742 5408 9484 10816 18968 21632 30823 37936 43264 61646 75872 123292 151744 246584 303488 400699 493168 606976 801398 986336 1602796 1972672 3205592 3945344 5621641 6411184 7890688 11243282 12822368 22486564 25644736 44973128 51289472 73081333 89946256 102578944 146162666 179892512 292325332 359785024 584650664 719570048 950057329 1169301328 1439140096 1900114658 2338602656 3800229316 4677205312 7600458632 9354410624 15200917264 18708821248 30401834528 60803669056 121607338112 243214676224