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4422425160 = 2335193257743
BaseRepresentation
bin1000001111001100…
…01101101001001000
3102102012120110211110
410013212031221020
533024120101120
62010455530320
7214406664546
oct40746155110
912365513743
104422425160
11196a38652a
12a350899a0
135562b522a
142dd4b4d96
151ad3b82e0
hex10798da48

4422425160 has 128 divisors (see below), whose sum is σ = 13405927680. Its totient is φ = 1167065088.

The previous prime is 4422425113. The next prime is 4422425167. The reversal of 4422425160 is 615242244.

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

It is not an unprimeable number, because it can be changed into a prime (4422425167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5951749 + ... + 5952491.

It is an arithmetic number, because the mean of its divisors is an integer number (104733810).

Almost surely, 24422425160 is an apocalyptic number.

4422425160 is a gapful number since it is divisible by the number (40) 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 4422425160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702963840).

4422425160 is an abundant number, since it is smaller than the sum of its proper divisors (8983502520).

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

4422425160 is a wasteful number, since it uses less digits than its factorization.

4422425160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4422425160 is about 66501.3169794403. The cubic root of 4422425160 is about 1641.4216752203.

The spelling of 4422425160 in words is "four billion, four hundred twenty-two million, four hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 257 386 514 579 743 771 772 965 1028 1158 1285 1486 1542 1544 1930 2056 2229 2316 2570 2895 2972 3084 3715 3855 3860 4458 4632 5140 5790 5944 6168 7430 7710 7720 8916 10280 11145 11580 14860 15420 17832 22290 23160 29720 30840 44580 49601 89160 99202 143399 148803 190951 198404 248005 286798 297606 381902 396808 430197 496010 572853 573596 595212 716995 744015 763804 860394 954755 992020 1145706 1147192 1190424 1433990 1488030 1527608 1720788 1909510 1984040 2150985 2291412 2864265 2867980 2976060 3441576 3819020 4301970 4582824 5728530 5735960 5952120 7638040 8603940 11457060 17207880 22914120 36853543 73707086 110560629 147414172 184267715 221121258 294828344 368535430 442242516 552803145 737070860 884485032 1105606290 1474141720 2211212580 4422425160