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22422442400240 = 2451787156844169
BaseRepresentation
bin1010001100100101000011…
…01101101101100111110000
32221101120020120012210010112
411012102201231231213300
510414332130223301430
6115404421113520452
74502653011464201
oct506224155554760
987346216183115
1022422442400240
117165339201733
122621752713128
13c68572873bbc
145773756d15a8
1528d3d4b27195
hex1464a1b6d9f0

22422442400240 has 40 divisors (see below), whose sum is σ = 52161351928560. Its totient is φ = 8963957889536.

The previous prime is 22422442400177. The next prime is 22422442400243. The reversal of 22422442400240 is 4200424422422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22422442400197 and 22422442400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422442400243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78279125 + ... + 78565044.

It is an arithmetic number, because the mean of its divisors is an integer number (1304033798214).

Almost surely, 222422442400240 is an apocalyptic number.

22422442400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422442400240 is an abundant number, since it is smaller than the sum of its proper divisors (29738909528320).

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

22422442400240 is a wasteful number, since it uses less digits than its factorization.

22422442400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156845969 (or 156845963 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 22422442400240 its reverse (4200424422422), we get a palindrome (26622866822662).

The spelling of 22422442400240 in words is "twenty-two trillion, four hundred twenty-two billion, four hundred forty-two million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1787 3574 7148 8935 14296 17870 28592 35740 71480 142960 156844169 313688338 627376676 784220845 1254753352 1568441690 2509506704 3136883380 6273766760 12547533520 280280530003 560561060006 1121122120012 1401402650015 2242244240024 2802805300030 4484488480048 5605610600060 11211221200120 22422442400240