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2102338140 = 22357241107163
BaseRepresentation
bin111110101001111…
…0010001001011100
312102111220211202120
41331103302021130
513301144310030
6544340222540
7103045402500
oct17523621134
95374824676
102102338140
11989795841
124a809aa50
13276729186
1415d2d8300
15c487a010
hex7d4f225c

2102338140 has 288 divisors, whose sum is σ = 7123624704. Its totient is φ = 461583360.

The previous prime is 2102338123. The next prime is 2102338171. The reversal of 2102338140 is 418332012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102338140.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12897699 + ... + 12897861.

It is an arithmetic number, because the mean of its divisors is an integer number (24734808).

Almost surely, 22102338140 is an apocalyptic number.

2102338140 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 2102338140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561812352).

2102338140 is an abundant number, since it is smaller than the sum of its proper divisors (5021286564).

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

2102338140 is a wasteful number, since it uses less digits than its factorization.

2102338140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2102338140 is about 45851.2610513604. The cubic root of 2102338140 is about 1281.0542543237.

The spelling of 2102338140 in words is "two billion, one hundred two million, three hundred thirty-eight thousand, one hundred forty".