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200204818340 = 225171399420899
BaseRepresentation
bin1011101001110100100…
…0110001011110100100
3201010202121200112102212
42322131020301132210
511240004413141330
6231550044022552
720315155610012
oct2723510613644
9633677615385
10200204818340
11779a744525a
1232974231a58
1315b578a2667
1499933998b2
15531b431295
hex2e9d2317a4

200204818340 has 48 divisors (see below), whose sum is σ = 445480560000. Its totient is φ = 75317171712.

The previous prime is 200204818321. The next prime is 200204818361. The reversal of 200204818340 is 43818402002.

200204818340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200204818297 and 200204818306.

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 15 ways as a sum of consecutive naturals, for example, 265211 + ... + 686109.

It is an arithmetic number, because the mean of its divisors is an integer number (9280845000).

Almost surely, 2200204818340 is an apocalyptic number.

200204818340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200204818340 is an abundant number, since it is smaller than the sum of its proper divisors (245275741660).

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

200204818340 is a wasteful number, since it uses less digits than its factorization.

200204818340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422324 (or 422322 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 200204818340 in words is "two hundred billion, two hundred four million, eight hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1399 2798 5596 6995 13990 23783 27980 47566 95132 118915 237830 420899 475660 841798 1683596 2104495 4208990 7155283 8417980 14310566 28621132 35776415 71552830 143105660 588837701 1177675402 2355350804 2944188505 5888377010 10010240917 11776754020 20020481834 40040963668 50051204585 100102409170 200204818340