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22280193 = 3213533593
BaseRepresentation
bin101010011111…
…1100000000001
31112220221200100
41110333200001
521200431233
62113313013
7360243555
oct124774001
945827610
1022280193
1111638491
127565769
134801260
142d5d865
151e51813
hex153f801

22280193 has 24 divisors (see below), whose sum is σ = 35321832. Its totient is φ = 13448448.

The previous prime is 22280191. The next prime is 22280197. The reversal of 22280193 is 39108222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1046529 + 21233664 = 1023^2 + 4608^2 .

It is not a de Polignac number, because 22280193 - 21 = 22280191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22280191) 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, 4405 + ... + 7997.

It is an arithmetic number, because the mean of its divisors is an integer number (1471743).

Almost surely, 222280193 is an apocalyptic number.

It is an amenable number.

22280193 is a deficient number, since it is larger than the sum of its proper divisors (13041639).

22280193 is a wasteful number, since it uses less digits than its factorization.

22280193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3662 counting only the distinct ones).

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

The square root of 22280193 is about 4720.1899326192. The cubic root of 22280193 is about 281.3884817292.

The spelling of 22280193 in words is "twenty-two million, two hundred eighty thousand, one hundred ninety-three".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 3593 6201 10779 32337 46709 140127 190429 420381 571287 1713861 2475577 7426731 22280193