Search a number
-
+
22414154334340 = 22516737317991487
BaseRepresentation
bin1010001100010101100111…
…01101010000000010000100
32221100202211221202102002211
411012022303231100002010
510414213142002144330
6115400530443513204
74502240432210566
oct506126355200204
987322757672084
1022414154334340
11716187587109a
12262001ab28804
13c67851750cb2
14576bcaa7d336
1528d09c1c8d2a
hex1462b3b50084

22414154334340 has 48 divisors (see below), whose sum is σ = 47478529308672. Its totient is φ = 8888081947776.

The previous prime is 22414154334323. The next prime is 22414154334367. The reversal of 22414154334340 is 4343345141422.

It is a super-2 number, since 2×224141543343402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22414154334293 and 22414154334302.

It is an unprimeable number.

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, 7749924 + ... + 10241563.

It is an arithmetic number, because the mean of its divisors is an integer number (989136027264).

Almost surely, 222414154334340 is an apocalyptic number.

22414154334340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414154334340 is an abundant number, since it is smaller than the sum of its proper divisors (25064374974332).

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

22414154334340 is a wasteful number, since it uses less digits than its factorization.

22414154334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17992036 (or 17992034 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 22414154334340 its reverse (4343345141422), we get a palindrome (26757499475762).

The spelling of 22414154334340 in words is "twenty-two trillion, four hundred fourteen billion, one hundred fifty-four million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 167 334 373 668 746 835 1492 1670 1865 3340 3730 7460 62291 124582 249164 311455 622910 1245820 17991487 35982974 71965948 89957435 179914870 359829740 3004578329 6009156658 6710824651 12018313316 13421649302 15022891645 26843298604 30045783290 33554123255 60091566580 67108246510 134216493020 1120707716717 2241415433434 4482830866868 5603538583585 11207077167170 22414154334340