Search a number
-
+
235285327872 = 21232723291367
BaseRepresentation
bin1101101100100000011…
…0010011000000000000
3211111022102212001200200
43123020012103000000
512323331020442442
6300031045045200
722666406201010
oct3331006230000
9744272761620
10235285327872
11908694852a1
12397246b6800
13192586a45ca
14b560461c40
1561c10b634c
hex36c8193000

235285327872 has 624 divisors, whose sum is σ = 839051965440. Its totient is φ = 62038867968.

The previous prime is 235285327819. The next prime is 235285327913. The reversal of 235285327872 is 278723582532.

It is a happy number.

235285327872 is a `hidden beast` number, since 2 + 3 + 5 + 28 + 532 + 7 + 87 + 2 = 666.

235285327872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172117333 + ... + 172118699.

It is an arithmetic number, because the mean of its divisors is an integer number (1344634560).

Almost surely, 2235285327872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235285327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419525982720).

235285327872 is an abundant number, since it is smaller than the sum of its proper divisors (603766637568).

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

235285327872 is a wasteful number, since it uses less digits than its factorization.

235285327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1431 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 235285327872 in words is "two hundred thirty-five billion, two hundred eighty-five million, three hundred twenty-seven thousand, eight hundred seventy-two".