Search a number
-
+
84222288200 = 2352205212
BaseRepresentation
bin100111001110000001…
…0100010000101001000
322001101121002112112102
41032130002202011020
52334441401210300
6102405143532532
76041051431511
oct1163402420510
9261347075472
1084222288200
113279a316766
12143a5a5a148
137c32b155bb
14410d833a08
1522ce0020d5
hex139c0a2148

84222288200 has 36 divisors (see below), whose sum is σ = 195826362795. Its totient is φ = 33687273600.

The previous prime is 84222288197. The next prime is 84222288211. The reversal of 84222288200 is 288222248.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 42482980996 + 41739307204 = 206114^2 + 204302^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=205210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4093940 + ... + 4114460.

Almost surely, 284222288200 is an apocalyptic number.

It is an amenable number.

84222288200 is an abundant number, since it is smaller than the sum of its proper divisors (111604074595).

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

84222288200 is an frugal number, since it uses more digits than its factorization.

84222288200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41058 (or 20528 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 84222288200 in words is "eighty-four billion, two hundred twenty-two million, two hundred eighty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20521 41042 82084 102605 164168 205210 410420 513025 820840 1026050 2052100 4104200 421111441 842222882 1684445764 2105557205 3368891528 4211114410 8422228820 10527786025 16844457640 21055572050 42111144100 84222288200