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3322425900 = 22352231912521
BaseRepresentation
bin1100011000001000…
…0011001000101100
322120112201201112010
43012002003020230
523301020112100
61305403041220
7145222103613
oct30602031054
98515651463
103322425900
111455471832
12788810210
1340c4349b1
1423737687a
15146a32750
hexc608322c

3322425900 has 144 divisors (see below), whose sum is σ = 10087354368. Its totient is φ = 842688000.

The previous prime is 3322425881. The next prime is 3322425913. The reversal of 3322425900 is 95242233.

It is a super-2 number, since 2×33224259002 = 22077027721981620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1316640 + ... + 1319160.

It is an arithmetic number, because the mean of its divisors is an integer number (70051072).

Almost surely, 23322425900 is an apocalyptic number.

3322425900 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 3322425900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043677184).

3322425900 is an abundant number, since it is smaller than the sum of its proper divisors (6764928468).

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

3322425900 is a wasteful number, since it uses less digits than its factorization.

3322425900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3322425900 is about 57640.4883740587. The cubic root of 3322425900 is about 1492.1704476236.

The spelling of 3322425900 in words is "three billion, three hundred twenty-two million, four hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 191 230 276 300 345 382 460 573 575 690 764 955 1146 1150 1380 1725 1910 2292 2300 2521 2865 3450 3820 4393 4775 5042 5730 6900 7563 8786 9550 10084 11460 12605 13179 14325 15126 17572 19100 21965 25210 26358 28650 30252 37815 43930 50420 52716 57300 57983 63025 65895 75630 87860 109825 115966 126050 131790 151260 173949 189075 219650 231932 252100 263580 289915 329475 347898 378150 439300 481511 579830 658950 695796 756300 869745 963022 1159660 1317900 1444533 1449575 1739490 1926044 2407555 2889066 2899150 3478980 4348725 4815110 5778132 5798300 7222665 8697450 9630220 11074753 12037775 14445330 17394900 22149506 24075550 28890660 33224259 36113325 44299012 48151100 55373765 66448518 72226650 110747530 132897036 144453300 166121295 221495060 276868825 332242590 553737650 664485180 830606475 1107475300 1661212950 3322425900