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10642221 = 321769557
BaseRepresentation
bin101000100110…
…001100101101
3202000200101100
4220212030231
510211022341
61020033313
7156312612
oct50461455
922020340
1010642221
116009727
123692839
132287c95
1415b0509
15e033b6
hexa2632d

10642221 has 12 divisors (see below), whose sum is σ = 16276572. Its totient is φ = 6677376.

The previous prime is 10642211. The next prime is 10642231. The reversal of 10642221 is 12224601.

10642221 is a `hidden beast` number, since 1 + 0 + 642 + 2 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (10642211) and next prime (10642231).

It can be written as a sum of positive squares in 2 ways, for example, as 8037225 + 2604996 = 2835^2 + 1614^2 .

It is not a de Polignac number, because 10642221 - 211 = 10640173 is a prime.

It is a super-2 number, since 2×106422212 = 226513735625682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10642194 and 10642203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34626 + ... + 34931.

It is an arithmetic number, because the mean of its divisors is an integer number (1356381).

Almost surely, 210642221 is an apocalyptic number.

It is an amenable number.

10642221 is a deficient number, since it is larger than the sum of its proper divisors (5634351).

10642221 is a wasteful number, since it uses less digits than its factorization.

10642221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69580 (or 69577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10642221 is about 3262.2417139139. The cubic root of 10642221 is about 219.9601925221.

Adding to 10642221 its reverse (12224601), we get a palindrome (22866822).

The spelling of 10642221 in words is "ten million, six hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 69557 208671 626013 1182469 3547407 10642221