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11224217088 = 29337176823
BaseRepresentation
bin10100111010000001…
…11111011000000000
31001222020100022021000
422131000333120000
5140441344421323
65053433532000
7545101161660
oct123500773000
931866308230
1011224217088
11483a861477
122212b74000
13109b510696
147869981a0
1545a5cde43
hex29d03f600

11224217088 has 320 divisors, whose sum is σ = 40210283520. Its totient is φ = 3017834496.

The previous prime is 11224217083. The next prime is 11224217197. The reversal of 11224217088 is 88071242211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224217083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1641645 + ... + 1648467.

It is an arithmetic number, because the mean of its divisors is an integer number (125657136).

Almost surely, 211224217088 is an apocalyptic number.

11224217088 is a gapful number since it is divisible by the number (18) 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 11224217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105141760).

11224217088 is an abundant number, since it is smaller than the sum of its proper divisors (28986066432).

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

11224217088 is an equidigital number, since it uses as much as digits as its factorization.

11224217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 11224217088 its reverse (88071242211), we get a palindrome (99295459299).

The spelling of 11224217088 in words is "eleven billion, two hundred twenty-four million, two hundred seventeen thousand, eighty-eight".