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11224000000 = 29562361
BaseRepresentation
bin10100111010000000…
…01010011000000000
31001222012221021110201
422131000022120000
5140441321000000
65053425134544
7545066266033
oct123500123000
931865837421
1011224000000
11483a723364
122212a8a454
13109b465925
1478693d01a
1545a58996a
hex29d00a600

11224000000 has 280 divisors, whose sum is σ = 29730556944. Its totient is φ = 4224000000.

The previous prime is 11223999967. The next prime is 11224000001. The reversal of 11224000000 is 42211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 183999970 + ... + 184000030.

Almost surely, 211224000000 is an apocalyptic number.

11224000000 is a gapful number since it is divisible by the number (10) 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 11224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865278472).

11224000000 is an abundant number, since it is smaller than the sum of its proper divisors (18506556944).

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

11224000000 is an frugal number, since it uses more digits than its factorization.

11224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11224000000 its reverse (42211), we get a palindrome (11224042211).

The spelling of 11224000000 in words is "eleven billion, two hundred twenty-four million", and thus it is an aban number.