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2338749140 = 22571319471439
BaseRepresentation
bin1000101101100110…
…0111101011010100
320000222202202200112
42023121213223110
514242204433030
61024023302152
7111646016420
oct21331475324
96028682615
102338749140
11aa0187932
125532aa958
132b36c1540
14182877b80
15da4c7a95
hex8b667ad4

2338749140 has 192 divisors, whose sum is σ = 6502809600. Its totient is φ = 685822464.

The previous prime is 2338749137. The next prime is 2338749191. The reversal of 2338749140 is 419478332.

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 63 ways as a sum of consecutive naturals, for example, 1624541 + ... + 1625979.

It is an arithmetic number, because the mean of its divisors is an integer number (33868800).

Almost surely, 22338749140 is an apocalyptic number.

2338749140 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 2338749140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

2338749140 is an abundant number, since it is smaller than the sum of its proper divisors (4164060460).

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

2338749140 is a wasteful number, since it uses less digits than its factorization.

2338749140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 2338749140 is about 48360.6155874799. The cubic root of 2338749140 is about 1327.3777908809.

It can be divided in two parts, 23387 and 49140, that added together give a palindrome (72527).

The spelling of 2338749140 in words is "two billion, three hundred thirty-eight million, seven hundred forty-nine thousand, one hundred forty".