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3225405000 = 23354239349
BaseRepresentation
bin1100000000111111…
…1100011001001000
322022210011112212110
43000033330121020
523101200430000
61252015342320
7142633330056
oct30017743110
98283145773
103225405000
111405725574
127602219a0
133c52c518c
1422851d1d6
1513d26a850
hexc03fc648

3225405000 has 160 divisors (see below), whose sum is σ = 10515384000. Its totient is φ = 822624000.

The previous prime is 3225404993. The next prime is 3225405011. The reversal of 3225405000 is 5045223.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 340326 + ... + 349674.

It is an arithmetic number, because the mean of its divisors is an integer number (65721150).

Almost surely, 23225405000 is an apocalyptic number.

3225405000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257692000).

3225405000 is an abundant number, since it is smaller than the sum of its proper divisors (7289979000).

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

3225405000 is a wasteful number, since it uses less digits than its factorization.

3225405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3225405000 is about 56792.6491722300. The cubic root of 3225405000 is about 1477.5020255869.

The spelling of 3225405000 in words is "three billion, two hundred twenty-five million, four hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 625 690 750 920 1000 1150 1250 1380 1500 1725 1875 2300 2500 2760 2875 3000 3450 3750 4600 5000 5750 6900 7500 8625 9349 11500 13800 14375 15000 17250 18698 23000 28047 28750 34500 37396 43125 46745 56094 57500 69000 74792 86250 93490 112188 115000 140235 172500 186980 215027 224376 233725 280470 345000 373960 430054 467450 560940 645081 701175 860108 934900 1075135 1121880 1168625 1290162 1402350 1720216 1869800 2150270 2337250 2580324 2804700 3225405 3505875 4300540 4674500 5160648 5375675 5609400 5843125 6450810 7011750 8601080 9349000 10751350 11686250 12901620 14023500 16127025 17529375 21502700 23372500 25803240 26878375 28047000 32254050 35058750 43005400 46745000 53756750 64508100 70117500 80635125 107513500 129016200 134391875 140235000 161270250 215027000 268783750 322540500 403175625 537567500 645081000 806351250 1075135000 1612702500 3225405000