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2240204112 = 243215799089
BaseRepresentation
bin1000010110000110…
…1100110101010000
312210010100011022200
42011201230311100
514041443012422
61010143203200
7106341264216
oct20541546520
95703304280
102240204112
11a4a59a563
125262a6500
1329916a083
14173744cb6
15d1a0e2ac
hex8586cd50

2240204112 has 60 divisors (see below), whose sum is σ = 6309456660. Its totient is φ = 741970944.

The previous prime is 2240204111. The next prime is 2240204143. The reversal of 2240204112 is 2114020422.

It can be written as a sum of positive squares in 2 ways, for example, as 1294272576 + 945931536 = 35976^2 + 30756^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240204111) 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 11 ways as a sum of consecutive naturals, for example, 26937 + ... + 72152.

It is an arithmetic number, because the mean of its divisors is an integer number (105157611).

Almost surely, 22240204112 is an apocalyptic number.

It is an amenable number.

2240204112 is an abundant number, since it is smaller than the sum of its proper divisors (4069252548).

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

2240204112 is a wasteful number, since it uses less digits than its factorization.

2240204112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99260 (or 99251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240204112 is about 47330.7945422428. The cubic root of 2240204112 is about 1308.4662647664.

Adding to 2240204112 its reverse (2114020422), we get a palindrome (4354224534).

The spelling of 2240204112 in words is "two billion, two hundred forty million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 99089 198178 297267 396356 594534 792712 891801 1189068 1585424 1783602 2378136 3567204 4756272 7134408 14268816 15556973 31113946 46670919 62227892 93341838 124455784 140012757 186683676 248911568 280025514 373367352 560051028 746734704 1120102056 2240204112