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4225652200 = 2352721139199
BaseRepresentation
bin1111101111011110…
…0101010111101000
3101220111022101002001
43323313211113220
532123231332300
61535150220344
7206500310500
oct37367452750
911814271061
104225652200
1118792a8050
1299b1b46b4
135245baa23
142c12d2a00
1519ae9a16a
hexfbde55e8

4225652200 has 144 divisors (see below), whose sum is σ = 12467952000. Its totient is φ = 1317052800.

The previous prime is 4225652143. The next prime is 4225652201. The reversal of 4225652200 is 22565224.

It is a super-2 number, since 2×42256522002 = 35712273030729680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4225652201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88201 + ... + 127399.

It is an arithmetic number, because the mean of its divisors is an integer number (86583000).

Almost surely, 24225652200 is an apocalyptic number.

4225652200 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 4225652200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976000).

4225652200 is an abundant number, since it is smaller than the sum of its proper divisors (8242299800).

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

4225652200 is a wasteful number, since it uses less digits than its factorization.

4225652200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39240 (or 39224 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 4225652200 is about 65005.0167294802. The cubic root of 4225652200 is about 1616.7067426680.

The spelling of 4225652200 in words is "four billion, two hundred twenty-five million, six hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 39199 53900 78398 107800 156796 195995 274393 313592 391990 431189 548786 783980 862378 979975 1097572 1371965 1567960 1724756 1920751 1959950 2155945 2195144 2743930 3018323 3449512 3841502 3919900 4311890 5487860 6036646 6859825 7683004 7839800 8623780 9603755 10779725 10975720 12073292 13719650 15091615 15366008 17247560 19207510 21128261 21559450 24146584 27439300 30183230 38415020 42256522 43118900 48018775 54878600 60366460 75458075 76830040 84513044 86237800 96037550 105641305 120732920 150916150 169026088 192075100 211282610 301832300 384150200 422565220 528206525 603664600 845130440 1056413050 2112826100 4225652200