Search a number
-
+
23243625 = 33537197
BaseRepresentation
bin101100010101…
…0101101101001
31121201220021000
41120222231221
521422244000
62150105213
7401365446
oct130525551
947656230
1023243625
1112136309
12794b209
134a7a932
1431309cd
152092000
hex162ab69

23243625 has 64 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 12096000.

The previous prime is 23243621. The next prime is 23243629. The reversal of 23243625 is 52634232.

23243625 is a `hidden beast` number, since 2 + 32 + 4 + 3 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (23243621) and next prime (23243629).

It is not a de Polignac number, because 23243625 - 22 = 23243621 is a prime.

It is a super-2 number, since 2×232436252 = 1080532206281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (8640) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (23243621) 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 63 ways as a sum of consecutive naturals, for example, 239577 + ... + 239673.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 223243625 is an apocalyptic number.

23243625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23243625 is a deficient number, since it is larger than the sum of its proper divisors (20785815).

23243625 is an equidigital number, since it uses as much as digits as its factorization.

23243625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 23243625 is about 4821.1642784705. The cubic root of 23243625 is about 285.3872851161.

Adding to 23243625 its reverse (52634232), we get a palindrome (75877857).

The spelling of 23243625 in words is "twenty-three million, two hundred forty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 71 75 97 125 135 213 225 291 355 375 485 639 675 873 1065 1125 1455 1775 1917 2425 2619 3195 3375 4365 5325 6887 7275 8875 9585 12125 13095 15975 20661 21825 26625 34435 36375 47925 61983 65475 79875 103305 109125 172175 185949 239625 309915 327375 516525 860875 929745 1549575 2582625 4648725 7747875 23243625