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2214413023032 = 23327127173319963
BaseRepresentation
bin100000001110010101010…
…011010011011100111000
321211200210020202222010100
4200032111103103130320
5242240104213214112
64413142020115400
7315662135062260
oct40162523233470
97750706688110
102214413023032
11784144470571
122b9202535b60
13130a83913532
147926cc3c7a0
153c90696c2dc
hex203954d3738

2214413023032 has 192 divisors, whose sum is σ = 6912437575680. Its totient is φ = 627313994496.

The previous prime is 2214413023003. The next prime is 2214413023061. The reversal of 2214413023032 is 2303203144122.

2214413023032 is a `hidden beast` number, since 2 + 2 + 14 + 41 + 302 + 303 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2214413023003) and next prime (2214413023061).

It is a junction number, because it is equal to n+sod(n) for n = 2214413022987 and 2214413023005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110915883 + ... + 110935845.

It is an arithmetic number, because the mean of its divisors is an integer number (36002279040).

Almost surely, 22214413023032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214413023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456218787840).

2214413023032 is an abundant number, since it is smaller than the sum of its proper divisors (4698024552648).

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

2214413023032 is a wasteful number, since it uses less digits than its factorization.

2214413023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21842 (or 21835 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2214413023032 its reverse (2303203144122), we get a palindrome (4517616167154).

The spelling of 2214413023032 in words is "two trillion, two hundred fourteen billion, four hundred thirteen million, twenty-three thousand, thirty-two".