Search a number
-
+
3224341125 = 325317533181
BaseRepresentation
bin1100000000101111…
…1000101010000101
322022201011111111200
43000023320222011
523100412404000
61251540453113
7142621306305
oct30013705205
98281144450
103224341125
111405069235
1275b9aa199
133c5011b75
14228323605
1513d10a500
hexc02f8a85

3224341125 has 96 divisors (see below), whose sum is σ = 6272409312. Its totient is φ = 1587456000.

The previous prime is 3224341123. The next prime is 3224341129. The reversal of 3224341125 is 5211434223.

3224341125 is a `hidden beast` number, since 3 + 2 + 243 + 411 + 2 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2255015169 + 969325956 = 47487^2 + 31134^2 .

It is not a de Polignac number, because 3224341125 - 21 = 3224341123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224341123) 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 95 ways as a sum of consecutive naturals, for example, 1012035 + ... + 1015215.

It is an arithmetic number, because the mean of its divisors is an integer number (65337597).

Almost surely, 23224341125 is an apocalyptic number.

It is an amenable number.

3224341125 is a deficient number, since it is larger than the sum of its proper divisors (3048068187).

3224341125 is a wasteful number, since it uses less digits than its factorization.

3224341125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3259 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3224341125 is about 56783.2820907703. The cubic root of 3224341125 is about 1477.3395601681.

Adding to 3224341125 its reverse (5211434223), we get a palindrome (8435775348).

The spelling of 3224341125 in words is "three billion, two hundred twenty-four million, three hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 53 75 85 125 153 159 225 255 265 375 425 477 765 795 901 1125 1275 1325 2125 2385 2703 3181 3825 3975 4505 6375 6625 8109 9543 11925 13515 15905 19125 19875 22525 28629 40545 47715 54077 59625 67575 79525 112625 143145 162231 168593 202725 238575 270385 337875 397625 486693 505779 715725 811155 842965 1013625 1192875 1351925 1517337 2433465 2528895 2866081 3578625 4055775 4214825 6759625 7586685 8598243 12167325 12644475 14330405 20278875 21074125 25794729 37933425 42991215 60836625 63222375 71652025 128973645 189667125 214956075 358260125 644868225 1074780375 3224341125