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2083193700 = 22352773107127
BaseRepresentation
bin111110000101011…
…0000001101100100
312101011220012112020
41330022300031210
513231244144300
6542414023140
7102423566010
oct17412601544
95334805466
102083193700
119799aa295
124a17a7ab0
132727852c3
1415a953540
15c2d478a0
hex7c2b0364

2083193700 has 288 divisors, whose sum is σ = 7103545344. Its totient is φ = 461583360.

The previous prime is 2083193699. The next prime is 2083193711. The reversal of 2083193700 is 73913802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16403037 + ... + 16403163.

It is an arithmetic number, because the mean of its divisors is an integer number (24665088).

Almost surely, 22083193700 is an apocalyptic number.

2083193700 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 2083193700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551772672).

2083193700 is an abundant number, since it is smaller than the sum of its proper divisors (5020351644).

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

2083193700 is a wasteful number, since it uses less digits than its factorization.

2083193700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2083193700 is about 45642.0168266040. The cubic root of 2083193700 is about 1277.1538527276.

The spelling of 2083193700 in words is "two billion, eighty-three million, one hundred ninety-three thousand, seven hundred".