Search a number
-
+
235322081280 = 217345111331
BaseRepresentation
bin1101101100101001001…
…0100000000000000000
3211111102000000022220000
43123022102200000000
512323414423100110
6300034440520000
723000333454546
oct3331222400000
9744360008800
10235322081280
11908881a8710
1239734a80000
13192631a24a0
14b5652abd96
1561c44261c0
hex36ca4a0000

235322081280 has 1440 divisors, whose sum is σ = 1023137837568. Its totient is φ = 50960793600.

The previous prime is 235322081221. The next prime is 235322081299. The reversal of 235322081280 is 82180223532.

It is a happy number.

235322081280 is a `hidden beast` number, since 2 + 3 + 532 + 20 + 81 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 7591034865 + ... + 7591034895.

Almost surely, 2235322081280 is an apocalyptic number.

235322081280 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 235322081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511568918784).

235322081280 is an abundant number, since it is smaller than the sum of its proper divisors (787815756288).

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

235322081280 is an equidigital number, since it uses as much as digits as its factorization.

235322081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 235322081280 in words is "two hundred thirty-five billion, three hundred twenty-two million, eighty-one thousand, two hundred eighty".