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3229611125 = 53132172232
BaseRepresentation
bin1100000001111111…
…1111010001110101
322100002002020120212
43000133333101311
523103240024000
61252245435205
7143014145606
oct30037772165
98302066525
103229611125
111408038704
1276170bb05
133c6138800
14228cd5dad
1513d7ebc35
hexc07ff475

3229611125 has 108 divisors (see below), whose sum is σ = 4846622508. Its totient is φ = 2147059200.

The previous prime is 3229611107. The next prime is 3229611131. The reversal of 3229611125 is 5211169223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 3206503876 + 23107249 = 56626^2 + 4807^2 .

It is not a de Polignac number, because 3229611125 - 26 = 3229611061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3229611091 and 3229611100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 140417864 + ... + 140417886.

Almost surely, 23229611125 is an apocalyptic number.

It is an amenable number.

3229611125 is a deficient number, since it is larger than the sum of its proper divisors (1617011383).

3229611125 is a wasteful number, since it uses less digits than its factorization.

3229611125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 3229611125 is about 56829.6676481572. The cubic root of 3229611125 is about 1478.1439975538.

Multiplying 3229611125 by its product of digits (6480), we get a square (20927880090000 = 45747002).

The spelling of 3229611125 in words is "three billion, two hundred twenty-nine million, six hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 13 17 23 25 65 85 115 125 169 221 289 299 325 391 425 529 575 845 1105 1445 1495 1625 1955 2125 2645 2873 2875 3757 3887 4225 5083 5525 6647 6877 7225 7475 8993 9775 13225 14365 18785 19435 21125 25415 27625 33235 34385 36125 37375 44965 48841 48875 66079 66125 71825 86411 89401 93925 97175 116909 127075 152881 166175 171925 224825 244205 330395 359125 432055 447005 469625 485875 584545 635375 764405 830875 859625 1123343 1124125 1221025 1519817 1651975 1987453 2160275 2235025 2922725 3822025 5616715 6105125 7599085 8259875 9937265 10801375 11175125 14613625 19110125 25836889 28083575 37995425 49686325 129184445 140417875 189977125 248431625 645922225 3229611125