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2244201120 = 253357471579
BaseRepresentation
bin1000010111000011…
…1100101010100000
312210101212020012000
42011300330222200
514044003413440
61010405004000
7106420252260
oct20560745240
95711766160
102244201120
11a5187a577
125276b3600
13299c39475
141740a57a0
15d204d730
hex85c3caa0

2244201120 has 384 divisors, whose sum is σ = 9173606400. Its totient is φ = 501728256.

The previous prime is 2244201119. The next prime is 2244201137. The reversal of 2244201120 is 211024422.

2244201120 is a `hidden beast` number, since 224 + 420 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2244201093 and 2244201102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420491 + ... + 1422069.

It is an arithmetic number, because the mean of its divisors is an integer number (23889600).

Almost surely, 22244201120 is an apocalyptic number.

2244201120 is a gapful number since it is divisible by the number (20) 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 2244201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586803200).

2244201120 is an abundant number, since it is smaller than the sum of its proper divisors (6929405280).

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

2244201120 is a wasteful number, since it uses less digits than its factorization.

2244201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2244201120 is about 47372.9999050092. Note that the first 4 decimals coincide. The cubic root of 2244201120 is about 1309.2439978795.

Adding to 2244201120 its reverse (211024422), we get a palindrome (2455225542).

The spelling of 2244201120 in words is "two billion, two hundred forty-four million, two hundred one thousand, one hundred twenty".