Search a number
-
+
6222960 = 243354367
BaseRepresentation
bin10111101111010001110000
3102201011022000
4113233101300
53043113320
6341214000
7103615512
oct27572160
912634260
106222960
113570447
122101300
13139b633
14b7dbb2
1582dc90
hex5ef470

6222960 has 160 divisors (see below), whose sum is σ = 22260480. Its totient is φ = 1596672.

The previous prime is 6222959. The next prime is 6222967. The reversal of 6222960 is 692226.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6222967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92847 + ... + 92913.

It is an arithmetic number, because the mean of its divisors is an integer number (139128).

Almost surely, 26222960 is an apocalyptic number.

6222960 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 6222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130240).

6222960 is an abundant number, since it is smaller than the sum of its proper divisors (16037520).

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

6222960 is a wasteful number, since it uses less digits than its factorization.

6222960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6222960 is about 2494.5861380197. The cubic root of 6222960 is about 183.9355476843.

The spelling of 6222960 in words is "six million, two hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 67 72 80 86 90 108 120 129 134 135 144 172 180 201 215 216 240 258 268 270 335 344 360 387 402 430 432 516 536 540 603 645 670 688 720 774 804 860 1005 1032 1072 1080 1161 1206 1290 1340 1548 1608 1720 1809 1935 2010 2064 2160 2322 2412 2580 2680 2881 3015 3096 3216 3440 3618 3870 4020 4644 4824 5160 5360 5762 5805 6030 6192 7236 7740 8040 8643 9045 9288 9648 10320 11524 11610 12060 14405 14472 15480 16080 17286 18090 18576 23048 23220 24120 25929 28810 28944 30960 34572 36180 43215 46096 46440 48240 51858 57620 69144 72360 77787 86430 92880 103716 115240 129645 138288 144720 155574 172860 207432 230480 259290 311148 345720 388935 414864 518580 622296 691440 777870 1037160 1244592 1555740 2074320 3111480 6222960