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6222240 = 2532529149
BaseRepresentation
bin10111101111000110100000
3102201010022100
4113233012200
53043102430
6341210400
7103613433
oct27570640
912633270
106222240
11356a952
122100a00
13139b1cb
14b7d81a
1582d960
hex5ef1a0

6222240 has 144 divisors (see below), whose sum is σ = 22113000. Its totient is φ = 1591296.

The previous prime is 6222233. The next prime is 6222241. The reversal of 6222240 is 422226.

It is a happy number.

6222240 is a `hidden beast` number, since 622 + 2 + 2 + 40 = 666.

6222240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 2396304 = 1956^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6222241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41686 + ... + 41834.

Almost surely, 26222240 is an apocalyptic number.

6222240 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 6222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056500).

6222240 is an abundant number, since it is smaller than the sum of its proper divisors (15890760).

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

6222240 is a wasteful number, since it uses less digits than its factorization.

6222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6222240 is about 2494.4418213300. The cubic root of 6222240 is about 183.9284535950.

Adding to 6222240 its reverse (422226), we get a palindrome (6644466).

The spelling of 6222240 in words is "six million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 149 160 174 180 232 240 261 288 290 298 348 360 435 447 464 480 522 580 596 696 720 745 870 894 928 1044 1160 1192 1305 1341 1392 1440 1490 1740 1788 2088 2235 2320 2384 2610 2682 2784 2980 3480 3576 4176 4321 4470 4640 4768 5220 5364 5960 6705 6960 7152 8352 8642 8940 10440 10728 11920 12963 13410 13920 14304 17284 17880 20880 21456 21605 23840 25926 26820 34568 35760 38889 41760 42912 43210 51852 53640 64815 69136 71520 77778 86420 103704 107280 129630 138272 155556 172840 194445 207408 214560 259260 311112 345680 388890 414816 518520 622224 691360 777780 1037040 1244448 1555560 2074080 3111120 6222240