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23769225 = 3252149709
BaseRepresentation
bin101101010101…
…1000010001001
31122201121020200
41122223002021
522041103400
62205242413
7406015014
oct132530211
948647220
1023769225
1112465197
127b63409
134c02c3c
14322a37b
152147b00
hex16ab089

23769225 has 36 divisors (see below), whose sum is σ = 42919500. Its totient is φ = 12574080.

The previous prime is 23769223. The next prime is 23769233. The reversal of 23769225 is 52296732.

It can be written as a sum of positive squares in 6 ways, for example, as 6827769 + 16941456 = 2613^2 + 4116^2 .

It is not a de Polignac number, because 23769225 - 21 = 23769223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23769225.

It is not an unprimeable number, because it can be changed into a prime (23769223) 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 35 ways as a sum of consecutive naturals, for example, 33171 + ... + 33879.

Almost surely, 223769225 is an apocalyptic number.

23769225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23769225 is a deficient number, since it is larger than the sum of its proper divisors (19150275).

23769225 is a wasteful number, since it uses less digits than its factorization.

23769225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 23769225 is about 4875.3692167876. The cubic root of 23769225 is about 287.5223927108.

The spelling of 23769225 in words is "twenty-three million, seven hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 149 225 447 709 745 1341 2127 2235 3545 3725 6381 6705 10635 11175 17725 31905 33525 53175 105641 159525 316923 528205 950769 1584615 2641025 4753845 7923075 23769225