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221225331 = 33137239269
BaseRepresentation
bin11010010111110…
…10000101110011
3120102021102002210
431023322011303
5423113202311
633541343203
75324245545
oct1513720563
9512242083
10221225331
1110396a958
1262107b03
1336aa9382
1421549695
151464d3a6
hexd2fa173

221225331 has 32 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 137773440.

The previous prime is 221225317. The next prime is 221225351. The reversal of 221225331 is 133522122.

It is not a de Polignac number, because 221225331 - 27 = 221225203 is a prime.

It is a super-2 number, since 2×2212253312 = 97881294152119122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221225298 and 221225307.

It is not an unprimeable number, because it can be changed into a prime (221225351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822265 + ... + 822533.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2221225331 is an apocalyptic number.

221225331 is a deficient number, since it is larger than the sum of its proper divisors (93961869).

221225331 is a wasteful number, since it uses less digits than its factorization.

221225331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579.

The product of its digits is 720, while the sum is 21.

The square root of 221225331 is about 14873.6455181640. The cubic root of 221225331 is about 604.7997707274.

Adding to 221225331 its reverse (133522122), we get a palindrome (354747453).

The spelling of 221225331 in words is "two hundred twenty-one million, two hundred twenty-five thousand, three hundred thirty-one".

Divisors: 1 3 31 37 93 111 239 269 717 807 1147 3441 7409 8339 8843 9953 22227 25017 26529 29859 64291 192873 274133 308543 822399 925629 1993021 2378767 5979063 7136301 73741777 221225331