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2114445060 = 223557213683
BaseRepresentation
bin111111000000111…
…1101111100000100
312110100200221100000
41332001331330010
513312244220220
6545451521300
7103253325600
oct17601757404
95410627300
102114445060
11995604962
124b0159230
132790a7a30
14160b6a500
15c596c390
hex7e07df04

2114445060 has 432 divisors, whose sum is σ = 8344679616. Its totient is φ = 445471488.

The previous prime is 2114445059. The next prime is 2114445061. The reversal of 2114445060 is 605444112.

2114445060 is a `hidden beast` number, since 2 + 114 + 44 + 506 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2114445059) and next prime (2114445061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114445061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3095479 + ... + 3096161.

It is an arithmetic number, because the mean of its divisors is an integer number (19316388).

Almost surely, 22114445060 is an apocalyptic number.

2114445060 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 2114445060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172339808).

2114445060 is an abundant number, since it is smaller than the sum of its proper divisors (6230234556).

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

2114445060 is a wasteful number, since it uses less digits than its factorization.

2114445060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2114445060 is about 45983.0953721039. The cubic root of 2114445060 is about 1283.5086555698.

Adding to 2114445060 its reverse (605444112), we get a palindrome (2719889172).

The spelling of 2114445060 in words is "two billion, one hundred fourteen million, four hundred forty-five thousand, sixty".