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224552335155345 = 3255394151922497
BaseRepresentation
bin110011000011101010101010…
…001010111010000010010001
31002110001222211022211022221200
4303003222222022322002101
5213413031140244432340
62113325530232541413
765204241124606101
oct6303525212720221
91073058738738850
10224552335155345
116560512414524a
12212278b6851869
13983b26ac8c642
143d64568d15201
151ae61c53c1330
hexcc3aaa2ba091

224552335155345 has 24 divisors (see below), whose sum is σ = 396567897561576. Its totient is φ = 117501599275008.

The previous prime is 224552335155311. The next prime is 224552335155377. The reversal of 224552335155345 is 543551533255422.

224552335155345 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 5 + 2 + 33 + 51 + 553 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9275478351489 + 215276856803856 = 3045567^2 + 14672316^2 .

It is not a de Polignac number, because 224552335155345 - 232 = 224548040188049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224552335155291 and 224552335155300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47075958864 + ... + 47075963633.

It is an arithmetic number, because the mean of its divisors is an integer number (16523662398399).

Almost surely, 2224552335155345 is an apocalyptic number.

It is an amenable number.

224552335155345 is a deficient number, since it is larger than the sum of its proper divisors (172015562406231).

224552335155345 is a wasteful number, since it uses less digits than its factorization.

224552335155345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94151922561 (or 94151922558 counting only the distinct ones).

The product of its digits is 54000000, while the sum is 54.

The spelling of 224552335155345 in words is "two hundred twenty-four trillion, five hundred fifty-two billion, three hundred thirty-five million, one hundred fifty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 94151922497 282455767491 470759612485 847367302473 1412278837455 4236836512365 4990051892341 14970155677023 24950259461705 44910467031069 74850778385115 224552335155345