Search a number
-
+
22414120240 = 245280176503
BaseRepresentation
bin10100110111111111…
…000101010100110000
32010212002010021122111
4110313333011110300
5331401003321430
614144044215104
71422304610221
oct246777052460
963762107574
1022414120240
119562206316
12441653a494
132162898655
141128b7d248
158b2b80c2a
hex537fc5530

22414120240 has 20 divisors (see below), whose sum is σ = 52112829744. Its totient is φ = 8965648064.

The previous prime is 22414120193. The next prime is 22414120249. The reversal of 22414120240 is 4202141422.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×224141202402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22414120249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140088172 + ... + 140088331.

Almost surely, 222414120240 is an apocalyptic number.

22414120240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414120240 is an abundant number, since it is smaller than the sum of its proper divisors (29698709504).

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

22414120240 is a wasteful number, since it uses less digits than its factorization.

22414120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280176516 (or 280176510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22414120240 its reverse (4202141422), we get a palindrome (26616261662).

The spelling of 22414120240 in words is "twenty-two billion, four hundred fourteen million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 280176503 560353006 1120706012 1400882515 2241412024 2801765030 4482824048 5603530060 11207060120 22414120240