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2224053412000 = 255376110971187
BaseRepresentation
bin100000010111010011111…
…010011110000010100000
321212121200002212110122121
4200113103322132002200
5242414330133141000
64421414355114024
7316453055040460
oct40272372360240
97777602773577
102224053412000
11788241196482
122bb052ba2914
1313195bc60cc4
1479905311ba0
153ccbce93b1a
hex205d3e9e0a0

2224053412000 has 384 divisors, whose sum is σ = 6358660019712. Its totient is φ = 748717056000.

The previous prime is 2224053411989. The next prime is 2224053412013. The reversal of 2224053412000 is 2143504222.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873675407 + ... + 1873676593.

It is an arithmetic number, because the mean of its divisors is an integer number (16559010468).

Almost surely, 22224053412000 is an apocalyptic number.

2224053412000 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 2224053412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179330009856).

2224053412000 is an abundant number, since it is smaller than the sum of its proper divisors (4134606607712).

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

2224053412000 is a wasteful number, since it uses less digits than its factorization.

2224053412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2224053412000 its reverse (2143504222), we get a palindrome (2226196916222).

The spelling of 2224053412000 in words is "two trillion, two hundred twenty-four billion, fifty-three million, four hundred twelve thousand".