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4204122000 = 243531353899
BaseRepresentation
bin1111101010010101…
…1100111110010000
3101211222210112012020
43322211130332100
532102223401000
61533100531440
7206116306311
oct37245347620
911758715166
104204122000
1118681320a1
12993b50b80
1351ccbcc70
142bc4ca608
15199145ba0
hexfa95cf90

4204122000 has 160 divisors (see below), whose sum is σ = 14596982400. Its totient is φ = 1034841600.

The previous prime is 4204121993. The next prime is 4204122007. The reversal of 4204122000 is 2214024.

It is an interprime number because it is at equal distance from previous prime (4204121993) and next prime (4204122007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4204122007) 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, 51051 + ... + 104949.

It is an arithmetic number, because the mean of its divisors is an integer number (91231140).

Almost surely, 24204122000 is an apocalyptic number.

4204122000 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 4204122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298491200).

4204122000 is an abundant number, since it is smaller than the sum of its proper divisors (10392860400).

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

4204122000 is a wasteful number, since it uses less digits than its factorization.

4204122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53938 (or 53922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4204122000 is about 64839.2011055041. The cubic root of 4204122000 is about 1613.9562951026.

Adding to 4204122000 its reverse (2214024), we get a palindrome (4206336024).

The spelling of 4204122000 in words is "four billion, two hundred four million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 53899 78000 107798 161697 215596 269495 323394 431192 538990 646788 700687 808485 862384 1077980 1293576 1347475 1401374 1616970 2102061 2155960 2587152 2694950 2802748 3233940 3503435 4042425 4204122 4311920 5389900 5605496 6467880 6737375 7006870 8084850 8408244 10510305 10779800 11210992 12935760 13474750 14013740 16169700 16816488 17517175 20212125 21020610 21559600 26949500 28027480 32339400 33632976 35034350 40424250 42041220 52551525 53899000 56054960 64678800 70068700 80848500 84082440 87585875 105103050 107798000 140137400 161697000 168164880 175171750 210206100 262757625 280274800 323394000 350343500 420412200 525515250 700687000 840824400 1051030500 1401374000 2102061000 4204122000