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223215101 is a prime number
BaseRepresentation
bin11010100110111…
…11110111111101
3120120000111112222
431103133313331
5424120340401
634052135125
75350203614
oct1523376775
9516014488
10223215101
11104aa989a
12629074a5
1337324c55
142190687b
15148e2c1b
hexd4dfdfd

223215101 has 2 divisors, whose sum is σ = 223215102. Its totient is φ = 223215100.

The previous prime is 223215089. The next prime is 223215121. The reversal of 223215101 is 101512322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190164100 + 33051001 = 13790^2 + 5749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223215101 is a prime.

It is a super-3 number, since 3×2232151013 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223215101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223215121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111607550 + 111607551.

It is an arithmetic number, because the mean of its divisors is an integer number (111607551).

Almost surely, 2223215101 is an apocalyptic number.

It is an amenable number.

223215101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223215101 is an equidigital number, since it uses as much as digits as its factorization.

223215101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 223215101 is about 14940.3849013337. The cubic root of 223215101 is about 606.6076143396.

Adding to 223215101 its reverse (101512322), we get a palindrome (324727423).

It can be divided in two parts, 22 and 3215101, that added together give a palindrome (3215123).

The spelling of 223215101 in words is "two hundred twenty-three million, two hundred fifteen thousand, one hundred one".