Search a number
-
+
209155242240 = 2832572593691
BaseRepresentation
bin1100001011001010011…
…1111011100100000000
3201222212101111011211100
43002302213323210000
511411322220222430
6240030134414400
721053030140230
oct3026247734400
9658771434740
10209155242240
118077a7551aa
1234651801400
1316952cb5489
14a1a1d87cc0
1556920b8960
hex30b29fb900

209155242240 has 216 divisors, whose sum is σ = 827035005888. Its totient is φ = 47806894080.

The previous prime is 209155242193. The next prime is 209155242251. The reversal of 209155242240 is 42242551902.

209155242240 is a `hidden beast` number, since 2 + 0 + 91 + 5 + 524 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 209155242195 and 209155242204.

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 23 ways as a sum of consecutive naturals, for example, 1216206 + ... + 1377485.

It is an arithmetic number, because the mean of its divisors is an integer number (3828865768).

Almost surely, 2209155242240 is an apocalyptic number.

209155242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209155242240 is an abundant number, since it is smaller than the sum of its proper divisors (617879763648).

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

209155242240 is a wasteful number, since it uses less digits than its factorization.

209155242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593725 (or 2593708 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 209155242240 in words is "two hundred nine billion, one hundred fifty-five million, two hundred forty-two thousand, two hundred forty".