Search a number
-
+
22291641 = 3217532749
BaseRepresentation
bin101010100001…
…0010010111001
31112221112101100
41111002102321
521201313031
62113442013
7360322131
oct125022271
945845340
1022291641
1111646049
127570309
134806528
142d63ac1
151e54de6
hex15424b9

22291641 has 24 divisors (see below), whose sum is σ = 34749000. Its totient is φ = 13718016.

The previous prime is 22291639. The next prime is 22291651. The reversal of 22291641 is 14619222.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 18275625 = 2004^2 + 4275^2 .

It is not a de Polignac number, because 22291641 - 21 = 22291639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22291601) 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 23 ways as a sum of consecutive naturals, for example, 6735 + ... + 9483.

It is an arithmetic number, because the mean of its divisors is an integer number (1447875).

Almost surely, 222291641 is an apocalyptic number.

It is an amenable number.

22291641 is a deficient number, since it is larger than the sum of its proper divisors (12457359).

22291641 is a wasteful number, since it uses less digits than its factorization.

22291641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2822 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 22291641 is about 4721.4024399536. The cubic root of 22291641 is about 281.4366677835.

It can be divided in two parts, 222 and 91641, that multiplied together give a palindrome (20344302).

The spelling of 22291641 in words is "twenty-two million, two hundred ninety-one thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 2749 8109 8247 24741 46733 140199 145697 420597 437091 1311273 2476849 7430547 22291641