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23512801 = 1323732
BaseRepresentation
bin101100110110…
…0011011100001
31122020120111111
41121230123201
522004402201
62155543321
7403566304
oct131543341
948216444
1023512801
11122aa574
127a5ab41
134b43300
1431a0b3b
1520e6b51
hex166c6e1

23512801 has 9 divisors (see below), whose sum is σ = 25529049. Its totient is φ = 21645936.

The previous prime is 23512777. The next prime is 23512817. The reversal of 23512801 is 10821532.

The square root of 23512801 is 4849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2719201 + 20793600 = 1649^2 + 4560^2 .

It is not a de Polignac number, because 23512801 - 213 = 23504609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23512891) 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 8 ways as a sum of consecutive naturals, for example, 62851 + ... + 63223.

It is an arithmetic number, because the mean of its divisors is an integer number (2836561).

Almost surely, 223512801 is an apocalyptic number.

23512801 is the 4849-th square number.

23512801 is the 2425-th centered octagonal number.

It is an amenable number.

23512801 is a deficient number, since it is larger than the sum of its proper divisors (2016248).

23512801 is an frugal number, since it uses more digits than its factorization.

23512801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 23512801 is about 286.4847152265.

The spelling of 23512801 in words is "twenty-three million, five hundred twelve thousand, eight hundred one".

Divisors: 1 13 169 373 4849 63037 139129 1808677 23512801