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23348225 = 5217137401
BaseRepresentation
bin101100100010…
…0010000000001
31121221012202002
41121010100001
521434120400
62152233345
7402312425
oct131042001
947835662
1023348225
11121a795a
12799b855
134ab6424
14315ab85
1520b2ed5
hex1644401

23348225 has 24 divisors (see below), whose sum is σ = 30955608. Its totient is φ = 17408000.

The previous prime is 23348179. The next prime is 23348233. The reversal of 23348225 is 52284332.

23348225 = T110 + T111 + ... + T520.

It is a Cunningham number, because it is equal to 48322+1.

It can be written as a sum of positive squares in 12 ways, for example, as 1 + 23348224 = 1^2 + 4832^2 .

It is not a de Polignac number, because 23348225 - 220 = 22299649 is a prime.

It is a super-2 number, since 2×233482252 = 1090279221301250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58025 + ... + 58425.

It is an arithmetic number, because the mean of its divisors is an integer number (1289817).

Almost surely, 223348225 is an apocalyptic number.

23348225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23348225 is a deficient number, since it is larger than the sum of its proper divisors (7607383).

23348225 is a wasteful number, since it uses less digits than its factorization.

23348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 23348225 is about 4832.0001034768. Note that the first 3 decimals coincide. The cubic root of 23348225 is about 285.8147405696.

The spelling of 23348225 in words is "twenty-three million, three hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 137 401 425 685 2005 2329 3425 6817 10025 11645 34085 54937 58225 170425 274685 933929 1373425 4669645 23348225