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23208825 = 35217109167
BaseRepresentation
bin101100010001…
…0001101111001
31121200010112010
41120202031321
521420140300
62145240133
7401162133
oct130421571
947603463
1023208825
1112112152
127933049
134a67b43
143122053
152086a50
hex1622379

23208825 has 48 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 11473920.

The previous prime is 23208821. The next prime is 23208847. The reversal of 23208825 is 52880232.

It is not a de Polignac number, because 23208825 - 22 = 23208821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23208792 and 23208801.

It is not an unprimeable number, because it can be changed into a prime (23208821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138892 + ... + 139058.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 223208825 is an apocalyptic number.

23208825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23208825 is a deficient number, since it is larger than the sum of its proper divisors (18038535).

23208825 is a wasteful number, since it uses less digits than its factorization.

23208825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 23208825 is about 4817.5538398652. The cubic root of 23208825 is about 285.2447881509.

The spelling of 23208825 in words is "twenty-three million, two hundred eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 109 167 255 327 425 501 545 835 1275 1635 1853 2505 2725 2839 4175 5559 8175 8517 9265 12525 14195 18203 27795 42585 46325 54609 70975 91015 138975 212925 273045 309451 455075 928353 1365225 1547255 4641765 7736275 23208825