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66223413 = 344571789
BaseRepresentation
bin1111110010011…
…1110100110101
311121121111110000
43330213310311
5113423122123
610323221513
71432614114
oct374476465
9147544400
1066223413
11344216a3
121a217899
1310948869
148b1bc7b
155c31b43
hex3f27d35

66223413 has 20 divisors (see below), whose sum is σ = 99198220. Its totient is φ = 44027712.

The previous prime is 66223411. The next prime is 66223427. The reversal of 66223413 is 31432266.

66223413 is a `hidden beast` number, since 6 + 622 + 34 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60186564 + 6036849 = 7758^2 + 2457^2 .

It is not a de Polignac number, because 66223413 - 21 = 66223411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66223411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36123 + ... + 37911.

It is an arithmetic number, because the mean of its divisors is an integer number (4959911).

Almost surely, 266223413 is an apocalyptic number.

It is an amenable number.

66223413 is a deficient number, since it is larger than the sum of its proper divisors (32974807).

66223413 is a wasteful number, since it uses less digits than its factorization.

66223413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2249 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 66223413 is about 8137.7769077310. The cubic root of 66223413 is about 404.5794812144.

Adding to 66223413 its reverse (31432266), we get a palindrome (97655679).

The spelling of 66223413 in words is "sixty-six million, two hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 457 1371 1789 4113 5367 12339 16101 37017 48303 144909 817573 2452719 7358157 22074471 66223413