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22661001 = 3211220809
BaseRepresentation
bin101011001110…
…0011110001001
31120122022001100
41112130132021
521300123001
62125412013
7363421026
oct126343611
946568040
1022661001
1111878600
12770a009
13490569c
14301c54d
151ec9586
hex159c789

22661001 has 18 divisors (see below), whose sum is σ = 35980490. Its totient is φ = 13733280.

The previous prime is 22660997. The next prime is 22661027. The reversal of 22661001 is 10016622.

It is a happy number.

22661001 is a `hidden beast` number, since 2 + 2 + 661 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17015625 + 5645376 = 4125^2 + 2376^2 .

It is not a de Polignac number, because 22661001 - 22 = 22660997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22661081) 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 17 ways as a sum of consecutive naturals, for example, 9316 + ... + 11493.

Almost surely, 222661001 is an apocalyptic number.

It is an amenable number.

22661001 is a deficient number, since it is larger than the sum of its proper divisors (13319489).

22661001 is a wasteful number, since it uses less digits than its factorization.

22661001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20837 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22661001 is about 4760.3572344941. The cubic root of 22661001 is about 282.9825766429.

Adding to 22661001 its reverse (10016622), we get a palindrome (32677623).

The spelling of 22661001 in words is "twenty-two million, six hundred sixty-one thousand, one".

Divisors: 1 3 9 11 33 99 121 363 1089 20809 62427 187281 228899 686697 2060091 2517889 7553667 22661001