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11014220224 = 26765937307
BaseRepresentation
bin10100100000111111…
…11010100111000000
31001102121012100201101
422100133322213000
5140024120021344
65020532544144
7536641220140
oct122037724700
931377170641
1011014220224
114742270747
122174782054
131066b66097
14766b32920
15446e4c9d4
hex2907fa9c0

11014220224 has 56 divisors (see below), whose sum is σ = 25017252480. Its totient is φ = 4713090816.

The previous prime is 11014220201. The next prime is 11014220291. The reversal of 11014220224 is 42202241011.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×110142202242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 276579 + ... + 313885.

Almost surely, 211014220224 is an apocalyptic number.

11014220224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508626240).

11014220224 is an abundant number, since it is smaller than the sum of its proper divisors (14003032256).

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

11014220224 is an equidigital number, since it uses as much as digits as its factorization.

11014220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985 (or 37975 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11014220224 its reverse (42202241011), we get a palindrome (53216461235).

The spelling of 11014220224 in words is "eleven billion, fourteen million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 659 1318 2636 4613 5272 9226 10544 18452 21088 36904 37307 42176 73808 74614 147616 149228 261149 295232 298456 522298 596912 1044596 1193824 2089192 2387648 4178384 8356768 16713536 24585313 49170626 98341252 172097191 196682504 344194382 393365008 688388764 786730016 1376777528 1573460032 2753555056 5507110112 11014220224