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221431432221 = 3224603492469
BaseRepresentation
bin1100111000111001010…
…1111000010000011101
3210011112221022020121100
43032032111320100131
512111442421312341
6245420232023313
721666164055456
oct3161625702035
9704487266540
10221431432221
11859aa2a845a
1236ab8b31b39
1317b5b42c40c
14aa0853c12d
155b5ebe33b6
hex338e57841d

221431432221 has 6 divisors (see below), whose sum is σ = 319845402110. Its totient is φ = 147620954808.

The previous prime is 221431432169. The next prime is 221431432231. The reversal of 221431432221 is 122234134122.

221431432221 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 1 + 432 + 221 = 666.

221431432221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 221431419225 + 12996 = 470565^2 + 114^2 .

It is not a de Polignac number, because 221431432221 - 213 = 221431424029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221431432231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12301746226 + ... + 12301746243.

Almost surely, 2221431432221 is an apocalyptic number.

It is an amenable number.

221431432221 is a deficient number, since it is larger than the sum of its proper divisors (98413969889).

221431432221 is a wasteful number, since it uses less digits than its factorization.

221431432221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24603492475 (or 24603492472 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 221431432221 its reverse (122234134122), we get a palindrome (343665566343).

The spelling of 221431432221 in words is "two hundred twenty-one billion, four hundred thirty-one million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 24603492469 73810477407 221431432221