Search a number
-
+
68221800 = 233252151251
BaseRepresentation
bin1000001000011…
…11101101101000
311202101000201100
410010033231220
5114431044200
610434121400
71455606243
oct404175550
9152330640
1068221800
1135567059
121aa20260
131119833a
1490bc25a
155ec8d00
hex410fb68

68221800 has 144 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 18000000.

The previous prime is 68221771. The next prime is 68221801. The reversal of 68221800 is 812286.

It is not an unprimeable number, because it can be changed into a prime (68221801) 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, 271675 + ... + 271925.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 268221800 is an apocalyptic number.

68221800 is a gapful number since it is divisible by the number (60) 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 68221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

68221800 is an abundant number, since it is smaller than the sum of its proper divisors (163325880).

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

68221800 is a wasteful number, since it uses less digits than its factorization.

68221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68221800 is about 8259.6489029498. The cubic root of 68221800 is about 408.6088085140.

The spelling of 68221800 in words is "sixty-eight million, two hundred twenty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 151 180 200 225 251 300 302 360 450 453 502 600 604 753 755 900 906 1004 1208 1255 1359 1506 1510 1800 1812 2008 2259 2265 2510 2718 3012 3020 3624 3765 3775 4518 4530 5020 5436 6024 6040 6275 6795 7530 7550 9036 9060 10040 10872 11295 11325 12550 13590 15060 15100 18072 18120 18825 22590 22650 25100 27180 30120 30200 33975 37650 37901 45180 45300 50200 54360 56475 67950 75300 75802 90360 90600 112950 113703 135900 150600 151604 189505 225900 227406 271800 303208 341109 379010 451800 454812 568515 682218 758020 909624 947525 1137030 1364436 1516040 1705545 1895050 2274060 2728872 2842575 3411090 3790100 4548120 5685150 6822180 7580200 8527725 11370300 13644360 17055450 22740600 34110900 68221800