[go: up one dir, main page]

Search a number
-
+
22041327 = 3721143317
BaseRepresentation
bin101010000010…
…1001011101111
31112110211000110
41110011023233
521120310302
62104231103
7355230300
oct124051357
945424013
1022041327
1111494a80
12746b493
134749609
142cda7a7
151e05b6c
hex15052ef

22041327 has 48 divisors (see below), whose sum is σ = 38282112. Its totient is φ = 11148480.

The previous prime is 22041323. The next prime is 22041343. The reversal of 22041327 is 72314022.

It is not a de Polignac number, because 22041327 - 22 = 22041323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22041323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69373 + ... + 69689.

It is an arithmetic number, because the mean of its divisors is an integer number (797544).

Almost surely, 222041327 is an apocalyptic number.

22041327 is a deficient number, since it is larger than the sum of its proper divisors (16240785).

22041327 is a wasteful number, since it uses less digits than its factorization.

22041327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22041327 is about 4694.8191658465. The cubic root of 22041327 is about 280.3792776791.

Adding to 22041327 its reverse (72314022), we get a palindrome (94355349).

The spelling of 22041327 in words is "twenty-two million, forty-one thousand, three hundred twenty-seven".

Divisors: 1 3 7 11 21 33 43 49 77 129 147 231 301 317 473 539 903 951 1419 1617 2107 2219 3311 3487 6321 6657 9933 10461 13631 15533 23177 24409 40893 46599 69531 73227 95417 149941 170863 286251 449823 512589 667919 1049587 2003757 3148761 7347109 22041327