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2224032101040 = 243561151914761
BaseRepresentation
bin100000010111010010101…
…001001011001010110000
321212121121121202202111210
4200113102221023022300
5242414304204213130
64421412314240120
7316452405641421
oct40272251131260
97777547682453
102224032101040
11788230160212
122bb047a26040
1313195770bc79
1479902565648
153ccbb1845b0
hex205d2a4b2b0

2224032101040 has 80 divisors (see below), whose sum is σ = 7007524141536. Its totient is φ = 583352678400.

The previous prime is 2224032101029. The next prime is 2224032101041. The reversal of 2224032101040 is 401012304222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2224032100998 and 2224032101016.

It is not an unprimeable number, because it can be changed into a prime (2224032101041) 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 15 ways as a sum of consecutive naturals, for example, 75942741 + ... + 75972020.

Almost surely, 22224032101040 is an apocalyptic number.

2224032101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224032101040 is an abundant number, since it is smaller than the sum of its proper divisors (4783492040496).

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

2224032101040 is a wasteful number, since it uses less digits than its factorization.

2224032101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151914838 (or 151914832 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2224032101040 its reverse (401012304222), we get a palindrome (2625044405262).

The spelling of 2224032101040 in words is "two trillion, two hundred twenty-four billion, thirty-two million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 151914761 303829522 455744283 607659044 759573805 911488566 1215318088 1519147610 1822977132 2278721415 2430636176 3038295220 3645954264 4557442830 6076590440 7291908528 9114885660 9266800421 12153180880 18229771320 18533600842 27800401263 36459542640 37067201684 46334002105 55600802526 74134403368 92668004210 111201605052 139002006315 148268806736 185336008420 222403210104 278004012630 370672016840 444806420208 556008025260 741344033680 1112016050520 2224032101040