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224364420106660 = 22511218221005333
BaseRepresentation
bin110011000000111011101001…
…100011111000100110100100
31002102102000210012111210002201
4303000323221203320212210
5213401441313021403120
62113103331445144244
765154536326213231
oct6300735143704644
91072360705453081
10224364420106660
1165542463a88919
12211b73b23bb084
1398266215a9c42
143d5941dc46788
151ae1377d9d40a
hexcc0ee98f89a4

224364420106660 has 12 divisors (see below), whose sum is σ = 471165282224028. Its totient is φ = 89745768042656.

The previous prime is 224364420106621. The next prime is 224364420106663. The reversal of 224364420106660 is 66601024463422.

It can be written as a sum of positive squares in 2 ways, for example, as 54016972941376 + 170347447165284 = 7349624^2 + 13051722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224364420106660.

It is not an unprimeable number, because it can be changed into a prime (224364420106663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5609110502647 + ... + 5609110502686.

It is an arithmetic number, because the mean of its divisors is an integer number (39263773518669).

Almost surely, 2224364420106660 is an apocalyptic number.

224364420106660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224364420106660 is an abundant number, since it is smaller than the sum of its proper divisors (246800862117368).

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

224364420106660 is a wasteful number, since it uses less digits than its factorization.

224364420106660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218221005342 (or 11218221005340 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 46.

The spelling of 224364420106660 in words is "two hundred twenty-four trillion, three hundred sixty-four billion, four hundred twenty million, one hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 11218221005333 22436442010666 44872884021332 56091105026665 112182210053330 224364420106660