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221225264 = 24137331451
BaseRepresentation
bin11010010111110…
…10000100110000
3120102021102000022
431023322010300
5423113202024
633541343012
75324245421
oct1513720460
9512242008
10221225264
1110396a8a7
1262107a68
1336aa9330
1421549648
151464d35e
hexd2fa130

221225264 has 40 divisors (see below), whose sum is σ = 462543312. Its totient is φ = 101894400.

The previous prime is 221225209. The next prime is 221225309. The reversal of 221225264 is 462522122.

Adding to 221225264 its reverse (462522122), we get a palindrome (683747386).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151739 + ... + 153189.

Almost surely, 2221225264 is an apocalyptic number.

It is an amenable number.

221225264 is an abundant number, since it is smaller than the sum of its proper divisors (241318048).

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

221225264 is a wasteful number, since it uses less digits than its factorization.

221225264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2199 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 221225264 is about 14873.6432658579. The cubic root of 221225264 is about 604.7997096711.

The spelling of 221225264 in words is "two hundred twenty-one million, two hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 733 1451 1466 2902 2932 5804 5864 9529 11608 11728 18863 19058 23216 37726 38116 75452 76232 150904 152464 301808 1063583 2127166 4254332 8508664 13826579 17017328 27653158 55306316 110612632 221225264