Search a number
-
+
14242200224 = 257253125121
BaseRepresentation
bin11010100001110011…
…01011101010100000
31100202120012201211012
431100321223222200
5213132000401344
610313123440052
71012635463430
oct152071535240
940676181735
1014242200224
11604939490a
122915826028
13145c850315
149917222c0
1558552629e
hex350e6baa0

14242200224 has 48 divisors (see below), whose sum is σ = 32058887616. Its totient is φ = 6101145600.

The previous prime is 14242200113. The next prime is 14242200233. The reversal of 14242200224 is 42200224241.

It is a self number, because there is not a number n which added to its sum of digits gives 14242200224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554384 + ... + 579504.

It is an arithmetic number, because the mean of its divisors is an integer number (667893492).

Almost surely, 214242200224 is an apocalyptic number.

14242200224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14242200224 is an abundant number, since it is smaller than the sum of its proper divisors (17816687392).

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

14242200224 is a wasteful number, since it uses less digits than its factorization.

14242200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27669 (or 27661 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14242200224 its reverse (42200224241), we get a palindrome (56442424465).

The spelling of 14242200224 in words is "fourteen billion, two hundred forty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2531 5062 10124 17717 20248 25121 35434 40496 50242 70868 80992 100484 141736 175847 200968 283472 351694 401936 566944 703388 803872 1406776 2813552 5627104 63581251 127162502 254325004 445068757 508650008 890137514 1017300016 1780275028 2034600032 3560550056 7121100112 14242200224