Search a number
-
+
2242001202441 = 37111317372934051
BaseRepresentation
bin100000101000000001101…
…011110110110100001001
321221022222220210200121220
4200220001223312310021
5243213104301434231
64433543334352253
7320656610533230
oct40500153666411
97838886720556
102242001202441
11794911259040
123026217bb689
1313355c411550
147a728c2bb17
153d4bd987896
hex20a01af6d09

2242001202441 has 256 divisors, whose sum is σ = 4380585172992. Its totient is φ = 980895744000.

The previous prime is 2242001202409. The next prime is 2242001202443. The reversal of 2242001202441 is 1442021002422.

It is a happy number.

It is not a de Polignac number, because 2242001202441 - 25 = 2242001202409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2242001202443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 553441866 + ... + 553445916.

It is an arithmetic number, because the mean of its divisors is an integer number (17111660832).

Almost surely, 22242001202441 is an apocalyptic number.

2242001202441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2242001202441 is a deficient number, since it is larger than the sum of its proper divisors (2138583970551).

2242001202441 is a wasteful number, since it uses less digits than its factorization.

2242001202441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2242001202441 its reverse (1442021002422), we get a palindrome (3684022204863).

It can be divided in two parts, 2242001 and 202441, that added together give a palindrome (2444442).

The spelling of 2242001202441 in words is "two trillion, two hundred forty-two billion, one million, two hundred two thousand, four hundred forty-one".