Search a number
-
+
2230612050240 = 263357257143509
BaseRepresentation
bin100000011101011010110…
…101101100000101000000
321220020121012002210221000
4200131122311230011000
5243021243141101430
64424421245332000
7320104434405660
oct40353265540500
97806535083830
102230612050240
1178aaa7394462
12300383567000
131324659a3032
1479d683bc1a0
153d053b78e60
hex2075ad6c140

2230612050240 has 448 divisors, whose sum is σ = 9028317427200. Its totient is φ = 507866775552.

The previous prime is 2230612050221. The next prime is 2230612050263. The reversal of 2230612050240 is 420502160322.

It is a happy number.

2230612050240 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 612 + 0 + 5 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15471606 + ... + 15615114.

Almost surely, 22230612050240 is an apocalyptic number.

2230612050240 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 2230612050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514158713600).

2230612050240 is an abundant number, since it is smaller than the sum of its proper divisors (6797705376960).

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

2230612050240 is a wasteful number, since it uses less digits than its factorization.

2230612050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143799 (or 143783 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2230612050240 in words is "two trillion, two hundred thirty billion, six hundred twelve million, fifty thousand, two hundred forty".