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2243012413424 = 241710986778719
BaseRepresentation
bin100000101000111101111…
…101010100011111110000
321221102121101120112022112
4200220331331110133300
5243222142134212144
64434231540224452
7321023636636216
oct40507575243760
97842541515275
102243012413424
117952900398a2
1230286439b128
13133690a75543
147a7c3256cb6
153d52c63099e
hex20a3df547f0

2243012413424 has 80 divisors (see below), whose sum is σ = 4644757180800. Its totient is φ = 1045610975232.

The previous prime is 2243012413409. The next prime is 2243012413427. The reversal of 2243012413424 is 4243142103422.

It is a happy number.

It is a super-2 number, since 2×22430124134242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243012413427) 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, 257251337 + ... + 257260055.

It is an arithmetic number, because the mean of its divisors is an integer number (58059464760).

Almost surely, 22243012413424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243012413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322378590400).

2243012413424 is an abundant number, since it is smaller than the sum of its proper divisors (2401744767376).

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

2243012413424 is a wasteful number, since it uses less digits than its factorization.

2243012413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17530 (or 17524 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2243012413424 its reverse (4243142103422), we get a palindrome (6486154516846).

The spelling of 2243012413424 in words is "two trillion, two hundred forty-three billion, twelve million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 3706 7412 8677 8719 14824 17354 17438 29648 34708 34876 69416 69752 138832 139504 147509 148223 295018 296446 590036 592892 945793 950371 1180072 1185784 1891586 1900742 2360144 2371568 3783172 3801484 7566344 7602968 15132688 15205936 16078481 16156307 32156962 32312614 64313924 64625228 75654763 128627848 129250456 151309526 257255696 258500912 302619052 605238104 1210476208 1286130971 2572261942 5144523884 8246369167 10289047768 16492738334 20578095536 32985476668 65970953336 131941906672 140188275839 280376551678 560753103356 1121506206712 2243012413424