Search a number
-
+
230559743232 = 283271319311867
BaseRepresentation
bin1101011010111001101…
…1100111110100000000
3211001010002211111020100
43112232123213310000
512234141243240412
6253530115242400
722441325324220
oct3265633476400
9731102744210
10230559743232
1189863a67645
1238825ba9400
1318984656490
14b2329d4080
155ee62b7edc
hex35ae6e7d00

230559743232 has 864 divisors, whose sum is σ = 889486008320. Its totient is φ = 55718461440.

The previous prime is 230559743191. The next prime is 230559743233. The reversal of 230559743232 is 232347955032.

230559743232 is a `hidden beast` number, since 2 + 3 + 0 + 559 + 74 + 3 + 23 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230559743233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123491163 + ... + 123493029.

Almost surely, 2230559743232 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 230559743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444743004160).

230559743232 is an abundant number, since it is smaller than the sum of its proper divisors (658926265088).

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

230559743232 is a wasteful number, since it uses less digits than its factorization.

230559743232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 230559743232 in words is "two hundred thirty billion, five hundred fifty-nine million, seven hundred forty-three thousand, two hundred thirty-two".