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23253201 = 327335393
BaseRepresentation
bin101100010110…
…1000011010001
31121202101101200
41120231003101
521423100301
62150221413
7401435406
oct130550321
947671350
1023253201
1112142524
127954869
134a820ba
1431342ad
152094c86
hex162d0d1

23253201 has 12 divisors (see below), whose sum is σ = 34049028. Its totient is φ = 15289344.

The previous prime is 23253173. The next prime is 23253211. The reversal of 23253201 is 10235232.

It can be written as a sum of positive squares in 2 ways, for example, as 19793601 + 3459600 = 4449^2 + 1860^2 .

It is not a de Polignac number, because 23253201 - 26 = 23253137 is a prime.

It is a super-2 number, since 2×232532012 = 1081422713492802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23253211) 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 11 ways as a sum of consecutive naturals, for example, 17040 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (2837419).

Almost surely, 223253201 is an apocalyptic number.

It is an amenable number.

23253201 is a deficient number, since it is larger than the sum of its proper divisors (10795827).

23253201 is a wasteful number, since it uses less digits than its factorization.

23253201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35472 (or 35469 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23253201 is about 4822.1572973100. The cubic root of 23253201 is about 285.4264713938.

Adding to 23253201 its reverse (10235232), we get a palindrome (33488433).

The spelling of 23253201 in words is "twenty-three million, two hundred fifty-three thousand, two hundred one".

Divisors: 1 3 9 73 219 657 35393 106179 318537 2583689 7751067 23253201