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4221606345 = 3511177919051
BaseRepresentation
bin1111101110100000…
…1001100111001001
3101220012200211012120
43323220021213021
532121212400340
61534523401453
7206421030135
oct37350114711
911805624176
104221606345
111876a94370
12999983289
13523802328
142c095c3c5
1519a94b4d0
hexfba099c9

4221606345 has 64 divisors (see below), whose sum is σ = 7901245440. Its totient is φ = 1901952000.

The previous prime is 4221606329. The next prime is 4221606349. The reversal of 4221606345 is 5436061224.

4221606345 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4221606345 - 24 = 4221606329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4221606349) 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 63 ways as a sum of consecutive naturals, for example, 212070 + ... + 231120.

It is an arithmetic number, because the mean of its divisors is an integer number (123456960).

Almost surely, 24221606345 is an apocalyptic number.

It is an amenable number.

4221606345 is a deficient number, since it is larger than the sum of its proper divisors (3679639095).

4221606345 is a wasteful number, since it uses less digits than its factorization.

4221606345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4221606345 is about 64973.8897173318. The cubic root of 4221606345 is about 1616.1906054021.

Adding to 4221606345 its reverse (5436061224), we get a palindrome (9657667569).

The spelling of 4221606345 in words is "four billion, two hundred twenty-one million, six hundred six thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 79 85 165 187 237 255 395 561 869 935 1185 1343 2607 2805 4029 4345 6715 13035 14773 19051 20145 44319 57153 73865 95255 209561 221595 285765 323867 628683 971601 1047805 1505029 1619335 3143415 3562537 4515087 4858005 7525145 10687611 16555319 17812685 22575435 25585493 49665957 53438055 76756479 82776595 127927465 248329785 281440423 383782395 844321269 1407202115 4221606345