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2069802240 = 283511192579
BaseRepresentation
bin111101101011110…
…1010110100000000
312100020200211220020
41323113222310000
513214332132430
6541215013440
7102202012602
oct17327526400
95306624806
102069802240
11972393070
1249920a280
1326ca76b6c
14158c69172
15c1a9eb10
hex7b5ead00

2069802240 has 288 divisors, whose sum is σ = 7593868800. Its totient is φ = 475176960.

The previous prime is 2069802233. The next prime is 2069802247. The reversal of 2069802240 is 422089602.

2069802240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2069802233) and next prime (2069802247).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069802247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801271 + ... + 803849.

It is an arithmetic number, because the mean of its divisors is an integer number (26367600).

Almost surely, 22069802240 is an apocalyptic number.

2069802240 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 2069802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796934400).

2069802240 is an abundant number, since it is smaller than the sum of its proper divisors (5524066560).

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

2069802240 is a wasteful number, since it uses less digits than its factorization.

2069802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2069802240 is about 45495.0792943589. The cubic root of 2069802240 is about 1274.4113114718.

The spelling of 2069802240 in words is "two billion, sixty-nine million, eight hundred two thousand, two hundred forty".