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2149868880 = 2432523197659
BaseRepresentation
bin1000000000100100…
…0110010101010000
312112211100122200100
42000021012111100
513400331301010
6553155052400
7104163404205
oct20011062520
95484318610
102149868880
11a035aa345
124bbba1100
1328352b683
1416574bcac
15c8b182c0
hex80246550

2149868880 has 240 divisors, whose sum is σ = 7583621760. Its totient is φ = 544760832.

The previous prime is 2149868873. The next prime is 2149868891. The reversal of 2149868880 is 888689412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3261991 + ... + 3262649.

It is an arithmetic number, because the mean of its divisors is an integer number (31598424).

Almost surely, 22149868880 is an apocalyptic number.

2149868880 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 2149868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791810880).

2149868880 is an abundant number, since it is smaller than the sum of its proper divisors (5433752880).

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

2149868880 is a wasteful number, since it uses less digits than its factorization.

2149868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2149868880 is about 46366.6785525985. The cubic root of 2149868880 is about 1290.6366426652.

The spelling of 2149868880 in words is "two billion, one hundred forty-nine million, eight hundred sixty-eight thousand, eight hundred eighty".