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22267141 = 134141777
BaseRepresentation
bin101010011110…
…0010100000101
31112220021202221
41110330110011
521200022031
62113132341
7360160531
oct124742405
945807687
1022267141
11116296a6
12755a0b1
1347c8330
142d58bc1
151e4ca11
hex153c505

22267141 has 8 divisors (see below), whose sum is σ = 24565464. Its totient is φ = 20052480.

The previous prime is 22267139. The next prime is 22267159. The reversal of 22267141 is 14176222.

It can be written as a sum of positive squares in 4 ways, for example, as 448900 + 21818241 = 670^2 + 4671^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22267141 - 21 = 22267139 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 (22267241) 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 7 ways as a sum of consecutive naturals, for example, 20356 + ... + 21421.

It is an arithmetic number, because the mean of its divisors is an integer number (3070683).

Almost surely, 222267141 is an apocalyptic number.

It is an amenable number.

22267141 is a deficient number, since it is larger than the sum of its proper divisors (2298323).

22267141 is a wasteful number, since it uses less digits than its factorization.

22267141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41831.

The product of its digits is 1344, while the sum is 25.

The square root of 22267141 is about 4718.8071585942. The cubic root of 22267141 is about 281.3335240984. Note that the first 3 decimals are identical.

The spelling of 22267141 in words is "twenty-two million, two hundred sixty-seven thousand, one hundred forty-one".

Divisors: 1 13 41 533 41777 543101 1712857 22267141