Search a number
-
+
23533125 = 354711163
BaseRepresentation
bin101100111000…
…1011001000101
31122021121101020
41121301121011
522011030000
62200221353
7404012460
oct131613105
948247336
1023533125
1112313870
127a6a859
134b4c635
1431a82d7
1520ecba0
hex1671645

23533125 has 80 divisors (see below), whose sum is σ = 49184256. Its totient is φ = 9720000.

The previous prime is 23533121. The next prime is 23533127. The reversal of 23533125 is 52133532.

It is a happy number.

It is not a de Polignac number, because 23533125 - 22 = 23533121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23533095 and 23533104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23533121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144294 + ... + 144456.

Almost surely, 223533125 is an apocalyptic number.

23533125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23533125 is an abundant number, since it is smaller than the sum of its proper divisors (25651131).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23533125 is a wasteful number, since it uses less digits than its factorization.

23533125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 23533125 is about 4851.0952371604. The cubic root of 23533125 is about 286.5672353615.

Adding to 23533125 its reverse (52133532), we get a palindrome (75666657).

The spelling of 23533125 in words is "twenty-three million, five hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 163 165 175 231 275 375 385 489 525 625 815 825 875 1141 1155 1375 1793 1875 1925 2445 2625 3423 4075 4125 4375 5379 5705 5775 6875 8965 9625 12225 12551 13125 17115 20375 20625 26895 28525 28875 37653 44825 48125 61125 62755 85575 101875 134475 142625 144375 188265 224125 305625 313775 427875 672375 713125 941325 1120625 1568875 2139375 3361875 4706625 7844375 23533125