Search a number
-
+
236225322000 = 2434533973673
BaseRepresentation
bin1101110000000000100…
…0000101110000010000
3211120201221121201020000
43130000020011300100
512332242140301000
6300304224250000
723031612051453
oct3340010056020
9746657551200
10236225322000
1191201043848
1239947470900
1319378361c55
14b60d22d49a
156228893000
hex3700205c10

236225322000 has 400 divisors, whose sum is σ = 855645531312. Its totient is φ = 62817638400.

The previous prime is 236225321999. The next prime is 236225322017. The reversal of 236225322000 is 223522632.

236225322000 is a `hidden beast` number, since 2 + 3 + 622 + 5 + 32 + 2 + 0 + 0 + 0 = 666.

236225322000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 117481675536 + 118743646464 = 342756^2 + 344592^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64312164 + ... + 64315836.

Almost surely, 2236225322000 is an apocalyptic number.

236225322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236225322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427822765656).

236225322000 is an abundant number, since it is smaller than the sum of its proper divisors (619420209312).

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

236225322000 is a wasteful number, since it uses less digits than its factorization.

236225322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 236225322000 its reverse (223522632), we get a palindrome (236448844632).

The spelling of 236225322000 in words is "two hundred thirty-six billion, two hundred twenty-five million, three hundred twenty-two thousand".