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2332011240 = 23325131812753
BaseRepresentation
bin1000101011111111…
…1010101011101000
320000112002110000200
42022333322223220
514233443324430
61023223032200
7111534524406
oct21277725350
96015073020
102332011240
11a973a5619
12550b9b660
132b21a2710
14181a02476
15d9ae6460
hex8affaae8

2332011240 has 192 divisors, whose sum is σ = 8210114640. Its totient is φ = 570654720.

The previous prime is 2332011229. The next prime is 2332011257. The reversal of 2332011240 is 421102332.

It can be written as a sum of positive squares in 8 ways, for example, as 419348484 + 1912662756 = 20478^2 + 43734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845704 + ... + 848456.

Almost surely, 22332011240 is an apocalyptic number.

2332011240 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 2332011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105057320).

2332011240 is an abundant number, since it is smaller than the sum of its proper divisors (5878103400).

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

2332011240 is a wasteful number, since it uses less digits than its factorization.

2332011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2332011240 is about 48290.9022487673. The cubic root of 2332011240 is about 1326.1018464936.

Adding to 2332011240 its reverse (421102332), we get a palindrome (2753113572).

The spelling of 2332011240 in words is "two billion, three hundred thirty-two million, eleven thousand, two hundred forty".