Search a number
-
+
235240245600 = 25352539072039
BaseRepresentation
bin1101101100010101101…
…0010100100101100000
3211111012022000122102220
43123011122110211200
512323233000324400
6300022354511040
722665321044553
oct3330532244540
9744168018386
10235240245600
1190845a93318
1239711595480
131924c24b6c9
14b55848869a
1561bc15d7a0
hex36c5694960

235240245600 has 288 divisors, whose sum is σ = 781397487360. Its totient is φ = 61449123840.

The previous prime is 235240245577. The next prime is 235240245607. The reversal of 235240245600 is 6542042532.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235240245607) 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 47 ways as a sum of consecutive naturals, for example, 115369381 + ... + 115371419.

It is an arithmetic number, because the mean of its divisors is an integer number (2713185720).

Almost surely, 2235240245600 is an apocalyptic number.

235240245600 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 235240245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390698743680).

235240245600 is an abundant number, since it is smaller than the sum of its proper divisors (546157241760).

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

235240245600 is a wasteful number, since it uses less digits than its factorization.

235240245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 235240245600 in words is "two hundred thirty-five billion, two hundred forty million, two hundred forty-five thousand, six hundred".