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2140045220 = 225377936607
BaseRepresentation
bin111111110001110…
…0111111110100100
312112010212120011002
41333203213332210
513340322421340
6552204332432
7104014040615
oct17743477644
95463776132
102140045220
119a8aaa715
124b8844118
1328149c161
14164311c0c
15c7d27715
hex7f8e7fa4

2140045220 has 48 divisors (see below), whose sum is σ = 4674109440. Its totient is φ = 822317184.

The previous prime is 2140045217. The next prime is 2140045223. The reversal of 2140045220 is 225400412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2140045217) and next prime (2140045223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2140045192 and 2140045201.

It is not an unprimeable number, because it can be changed into a prime (2140045223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40157 + ... + 76763.

It is an arithmetic number, because the mean of its divisors is an integer number (97377280).

Almost surely, 22140045220 is an apocalyptic number.

2140045220 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 2140045220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337054720).

2140045220 is an abundant number, since it is smaller than the sum of its proper divisors (2534064220).

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

2140045220 is a wasteful number, since it uses less digits than its factorization.

2140045220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36732 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2140045220 is about 46260.6227800707. The cubic root of 2140045220 is about 1288.6678192925.

Adding to 2140045220 its reverse (225400412), we get a palindrome (2365445632).

The spelling of 2140045220 in words is "two billion, one hundred forty million, forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2923 5846 11692 14615 29230 36607 58460 73214 146428 183035 366070 732140 1354459 2708918 2891953 5417836 5783906 6772295 11567812 13544590 14459765 27089180 28919530 57839060 107002261 214004522 428009044 535011305 1070022610 2140045220