Search a number
-
+
23401125 = 3253113161
BaseRepresentation
bin101100101000…
…1001010100101
31122000220022100
41121101022211
521442314000
62153322313
7402622566
oct131211245
948026270
1023401125
1112233680
127a06399
134b04527
14317216d
1520c3a00
hex16512a5

23401125 has 96 divisors (see below), whose sum is σ = 48282624. Its totient is φ = 10800000.

The previous prime is 23401123. The next prime is 23401127. The reversal of 23401125 is 52110432.

It is an interprime number because it is at equal distance from previous prime (23401123) and next prime (23401127).

It is not a de Polignac number, because 23401125 - 21 = 23401123 is a prime.

It is a super-2 number, since 2×234011252 = 1095225302531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23401098 and 23401107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23401123) 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 95 ways as a sum of consecutive naturals, for example, 383595 + ... + 383655.

It is an arithmetic number, because the mean of its divisors is an integer number (502944).

Almost surely, 223401125 is an apocalyptic number.

23401125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23401125 is an abundant number, since it is smaller than the sum of its proper divisors (24881499).

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

23401125 is a wasteful number, since it uses less digits than its factorization.

23401125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23401125 is about 4837.4709301452. The cubic root of 23401125 is about 286.0304342725.

Adding to 23401125 its reverse (52110432), we get a palindrome (75511557).

The spelling of 23401125 in words is "twenty-three million, four hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 61 75 93 99 125 155 165 183 225 275 279 305 341 375 465 495 549 671 775 825 915 1023 1125 1375 1395 1525 1705 1891 2013 2325 2475 2745 3069 3355 3875 4125 4575 5115 5673 6039 6975 7625 8525 9455 10065 11625 12375 13725 15345 16775 17019 20801 22875 25575 28365 30195 34875 42625 47275 50325 62403 68625 76725 83875 85095 104005 127875 141825 150975 187209 236375 251625 312015 383625 425475 520025 709125 754875 936045 1560075 2127375 2600125 4680225 7800375 23401125