Search a number
-
+
225544216264352 = 2541257668905453
BaseRepresentation
bin110011010010000110011010…
…111001000011111010100000
31002120120211001020010100202022
4303102012122321003322200
5214030304023330424402
62115405325455241012
765336013636123026
oct6322063271037240
91076524036110668
10225544216264352
1165957846179177
1221367b91819168
1398b09611b8b6b
143d9a580d86716
151b11dc8ea52a2
hexcd219ae43ea0

225544216264352 has 48 divisors (see below), whose sum is σ = 456640348471272. Its totient is φ = 109593469255680.

The previous prime is 225544216264351. The next prime is 225544216264391. The reversal of 225544216264352 is 253462612445522.

It can be written as a sum of positive squares in 4 ways, for example, as 181788160957456 + 43756055306896 = 13482884^2 + 6614836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225544216264294 and 225544216264303.

It is not an unprimeable number, because it can be changed into a prime (225544216264351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334115543 + ... + 334789910.

Almost surely, 2225544216264352 is an apocalyptic number.

It is an amenable number.

225544216264352 is an abundant number, since it is smaller than the sum of its proper divisors (231096132206920).

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

225544216264352 is a wasteful number, since it uses less digits than its factorization.

225544216264352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668905761 (or 668905753 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 53.

The spelling of 225544216264352 in words is "two hundred twenty-five trillion, five hundred forty-four billion, two hundred sixteen million, two hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 164 257 328 514 656 1028 1312 2056 4112 8224 10537 21074 42148 84296 168592 337184 668905453 1337810906 2675621812 5351243624 10702487248 21404974496 27425123573 54850247146 109700494292 171908701421 219400988584 343817402842 438801977168 687634805684 877603954336 1375269611368 2750539222736 5501078445472 7048256758261 14096513516522 28193027033044 56386054066088 112772108132176 225544216264352