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218040000200 = 23521199109091
BaseRepresentation
bin1100101100010000110…
…0100101111011001000
3202211210120201122110222
43023010030211323020
512033021220001300
6244055521525212
721516143264531
oct3130414457310
9684716648428
10218040000200
1184519994380
12363111a3808
131773a9163c9
14a7a5d61688
155a120ce785
hex32c4325ec8

218040000200 has 48 divisors (see below), whose sum is σ = 553028733360. Its totient is φ = 79287272000.

The previous prime is 218040000193. The next prime is 218040000203. The reversal of 218040000200 is 2000040812.

It is not an unprimeable number, because it can be changed into a prime (218040000203) 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 11 ways as a sum of consecutive naturals, for example, 49552346 + ... + 49556745.

It is an arithmetic number, because the mean of its divisors is an integer number (11521431945).

Almost surely, 2218040000200 is an apocalyptic number.

218040000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218040000200 is an abundant number, since it is smaller than the sum of its proper divisors (334988733160).

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

218040000200 is a wasteful number, since it uses less digits than its factorization.

218040000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99109118 (or 99109109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The spelling of 218040000200 in words is "two hundred eighteen billion, forty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 99109091 198218182 396436364 495545455 792872728 991090910 1090200001 1982181820 2180400002 2477727275 3964363640 4360800004 4955454550 5451000005 8721600008 9910909100 10902000010 19821818200 21804000020 27255000025 43608000040 54510000050 109020000100 218040000200