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224040163600107 = 3316350906649307
BaseRepresentation
bin110010111100001101101010…
…010111011110011011101011
31002101021000211012200112211000
4302330031222113132123223
5213331133223340200412
62112254344051010043
765122240052325561
oct6274155227363353
91071230735615730
10224040163600107
1165427999701198
1221164599599923
139801b872a1b9a
143d4785d3b7a31
151ad7beae314dc
hexcbc36a5de6eb

224040163600107 has 16 divisors (see below), whose sum is σ = 333947619460480. Its totient is φ = 148443789376296.

The previous prime is 224040163600087. The next prime is 224040163600163. The reversal of 224040163600107 is 701006361040422.

224040163600107 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 4 + 0 + 1 + 636 + 0 + 0 + 10 + 7 = 666.

It is not a de Polignac number, because 224040163600107 - 220 = 224040162551531 is a prime.

It is a super-2 number, since 2×2240401636001072 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224040163600807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25453320253 + ... + 25453329054.

It is an arithmetic number, because the mean of its divisors is an integer number (20871726216280).

Almost surely, 2224040163600107 is an apocalyptic number.

224040163600107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

224040163600107 is a deficient number, since it is larger than the sum of its proper divisors (109907455860373).

224040163600107 is a wasteful number, since it uses less digits than its factorization.

224040163600107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50906649479 (or 50906649473 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 224040163600107 in words is "two hundred twenty-four trillion, forty billion, one hundred sixty-three million, six hundred thousand, one hundred seven".

Divisors: 1 3 9 27 163 489 1467 4401 50906649307 152719947921 458159843763 1374479531289 8297783837041 24893351511123 74680054533369 224040163600107