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2240020200 = 23352111917863
BaseRepresentation
bin1000010110000011…
…1111111011101000
312210002222211001010
42011200333323220
514041421121300
61010135223520
7106336600065
oct20540777350
95702884033
102240020200
11a4a484370
12526217ba0
13299104452
141736d7c6c
15d19c4a50
hex8583fee8

2240020200 has 192 divisors, whose sum is σ = 7974489600. Its totient is φ = 514425600.

The previous prime is 2240020187. The next prime is 2240020201. The reversal of 2240020200 is 20200422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2240020201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 116469 + ... + 134331.

It is an arithmetic number, because the mean of its divisors is an integer number (41533800).

Almost surely, 22240020200 is an apocalyptic number.

2240020200 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 2240020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987244800).

2240020200 is an abundant number, since it is smaller than the sum of its proper divisors (5734469400).

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

2240020200 is a wasteful number, since it uses less digits than its factorization.

2240020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17912 (or 17903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2240020200 is about 47328.8516657651. The cubic root of 2240020200 is about 1308.4304571314.

Adding to 2240020200 its reverse (20200422), we get a palindrome (2260220622).

The spelling of 2240020200 in words is "two billion, two hundred forty million, twenty thousand, two hundred".