Search a number
-
+
2240420200242 = 237233322864697
BaseRepresentation
bin100000100110100011011…
…100110011111100110010
321221011220201212110022220
4200212203130303330302
5243201340032401432
64433122420141510
7320602462326330
oct40464334637462
97834821773286
102240420200242
1179417a882754
12302260237896
131333699ca9a3
147a618c80b50
153d429c8c72c
hex209a3733f32

2240420200242 has 32 divisors (see below), whose sum is σ = 5123155692672. Its totient is φ = 639845652864.

The previous prime is 2240420200241. The next prime is 2240420200259. The reversal of 2240420200242 is 2420020240422.

2240420200242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22404202002423 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2240420200241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11334363 + ... + 11530334.

It is an arithmetic number, because the mean of its divisors is an integer number (160098615396).

Almost surely, 22240420200242 is an apocalyptic number.

2240420200242 is an abundant number, since it is smaller than the sum of its proper divisors (2882735492430).

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

2240420200242 is a wasteful number, since it uses less digits than its factorization.

2240420200242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22867042.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2240420200242 its reverse (2420020240422), we get a palindrome (4660440440664).

The spelling of 2240420200242 in words is "two trillion, two hundred forty billion, four hundred twenty million, two hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 2333 4666 6999 13998 16331 32662 48993 97986 22864697 45729394 68594091 137188182 160052879 320105758 480158637 960317274 53343338101 106686676202 160030014303 320060028606 373403366707 746806733414 1120210100121 2240420200242