Search a number
-
+
6222044040 = 233573727977
BaseRepresentation
bin1011100101101110…
…01101101110001000
3121001121212120211120
411302313031232020
5100220320402130
62505223555240
7310121334042
oct56267155610
917047776746
106222044040
1127031aa863
1212578bbb20
137820a0984
144304cca92
15266398910
hex172dcdb88

6222044040 has 128 divisors (see below), whose sum is σ = 18967253760. Its totient is φ = 1632559104.

The previous prime is 6222044039. The next prime is 6222044053. The reversal of 6222044040 is 404402226.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6222044040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6368032 + ... + 6369008.

It is an arithmetic number, because the mean of its divisors is an integer number (148181670).

Almost surely, 26222044040 is an apocalyptic number.

6222044040 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 6222044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483626880).

6222044040 is an abundant number, since it is smaller than the sum of its proper divisors (12745209720).

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

6222044040 is a wasteful number, since it uses less digits than its factorization.

6222044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6222044040 is about 78879.9343306015. The cubic root of 6222044040 is about 1839.2652272565.

Adding to 6222044040 its reverse (404402226), we get a palindrome (6626446266).

The spelling of 6222044040 in words is "six billion, two hundred twenty-two million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 727 730 876 977 1095 1454 1460 1752 1954 2181 2190 2908 2920 2931 3635 3908 4362 4380 4885 5816 5862 7270 7816 8724 8760 9770 10905 11724 14540 14655 17448 19540 21810 23448 29080 29310 39080 43620 53071 58620 71321 87240 106142 117240 142642 159213 212284 213963 265355 285284 318426 356605 424568 427926 530710 570568 636852 710279 713210 796065 855852 1061420 1069815 1273704 1420558 1426420 1592130 1711704 2122840 2130837 2139630 2841116 2852840 3184260 3551395 4261674 4279260 5682232 6368520 7102790 8523348 8558520 10654185 14205580 17046696 21308370 28411160 42616740 51850367 85233480 103700734 155551101 207401468 259251835 311102202 414802936 518503670 622204404 777755505 1037007340 1244408808 1555511010 2074014680 3111022020 6222044040