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2040252200 = 235272208189
BaseRepresentation
bin111100110011011…
…1100011100101000
312021012002112212022
41321212330130220
513134301032300
6534241404012
7101362600100
oct17146743450
95235075768
102040252200
1195773a748
1248b339608
132668cb92c
14154d76200
15be1b4285
hex799bc728

2040252200 has 72 divisors (see below), whose sum is σ = 5518075950. Its totient is φ = 699511680.

The previous prime is 2040252169. The next prime is 2040252211. The reversal of 2040252200 is 22520402.

It can be written as a sum of positive squares in 3 ways, for example, as 1057680484 + 982571716 = 32522^2 + 31346^2 .

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 17 ways as a sum of consecutive naturals, for example, 94295 + ... + 113894.

Almost surely, 22040252200 is an apocalyptic number.

2040252200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040252200 is an abundant number, since it is smaller than the sum of its proper divisors (3477823750).

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

2040252200 is a wasteful number, since it uses less digits than its factorization.

2040252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208219 (or 208203 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2040252200 is about 45169.1509771880. The cubic root of 2040252200 is about 1268.3174030522.

Adding to 2040252200 its reverse (22520402), we get a palindrome (2062772602).

The spelling of 2040252200 in words is "two billion, forty million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 208189 416378 832756 1040945 1457323 1665512 2081890 2914646 4163780 5204725 5829292 7286615 8327560 10201261 10409450 11658584 14573230 20402522 20818900 29146460 36433075 40805044 41637800 51006305 58292920 72866150 81610088 102012610 145732300 204025220 255031525 291464600 408050440 510063050 1020126100 2040252200