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11222021440 = 265741711721
BaseRepresentation
bin10100111001110001…
…00111010101000000
31001222002012202101201
422130320213111000
5140440314141230
65053314510544
7545043415450
oct123470472500
931862182351
1011222021440
1148395a1893
122212295454
13109ac22196
14786585d60
1545a2e85ca
hex29ce27540

11222021440 has 224 divisors, whose sum is σ = 31743871488. Its totient is φ = 3698688000.

The previous prime is 11222021431. The next prime is 11222021443. The reversal of 11222021440 is 4412022211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222021443) 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, 6519780 + ... + 6521500.

It is an arithmetic number, because the mean of its divisors is an integer number (141713712).

Almost surely, 211222021440 is an apocalyptic number.

11222021440 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 11222021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871935744).

11222021440 is an abundant number, since it is smaller than the sum of its proper divisors (20521850048).

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

11222021440 is a wasteful number, since it uses less digits than its factorization.

11222021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1847 counting only the distinct ones).

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

Adding to 11222021440 its reverse (4412022211), we get a palindrome (15634043651).

The spelling of 11222021440 in words is "eleven billion, two hundred twenty-two million, twenty-one thousand, four hundred forty".