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3225133240 = 2357173072207
BaseRepresentation
bin1100000000111011…
…1010000010111000
322022202122202002021
43000032322002320
523101113230430
61252005444224
7142631115550
oct30016720270
98282582067
103225133240
11140555a37a
12760110674
133c522b584
1422848c160
1513d21507a
hexc03ba0b8

3225133240 has 128 divisors (see below), whose sum is σ = 8813629440. Its totient is φ = 1036855296.

The previous prime is 3225133237. The next prime is 3225133253. The reversal of 3225133240 is 423315223.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1460217 + ... + 1462423.

It is an arithmetic number, because the mean of its divisors is an integer number (68856480).

Almost surely, 23225133240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406814720).

3225133240 is an abundant number, since it is smaller than the sum of its proper divisors (5588496200).

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

3225133240 is a wasteful number, since it uses less digits than its factorization.

3225133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3225133240 is about 56790.2565586739. The cubic root of 3225133240 is about 1477.4605282424.

Adding to 3225133240 its reverse (423315223), we get a palindrome (3648448463).

The spelling of 3225133240 in words is "three billion, two hundred twenty-five million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 307 340 476 595 614 680 952 1190 1228 1535 2149 2207 2380 2456 3070 4298 4414 4760 5219 6140 8596 8828 10438 10745 11035 12280 15449 17192 17656 20876 21490 22070 26095 30898 36533 37519 41752 42980 44140 52190 61796 73066 75038 77245 85960 88280 104380 123592 146132 150076 154490 182665 187595 208760 262633 292264 300152 308980 365330 375190 525266 617960 677549 730660 750380 1050532 1313165 1355098 1461320 1500760 2101064 2626330 2710196 3387745 4742843 5252660 5420392 6775490 9485686 10505320 11518333 13550980 18971372 23036666 23714215 27101960 37942744 46073332 47428430 57591665 80628331 92146664 94856860 115183330 161256662 189713720 230366660 322513324 403141655 460733320 645026648 806283310 1612566620 3225133240