Search a number
-
+
230583408 = 24311229372
BaseRepresentation
bin11011011111001…
…10110001110000
3121001212211222020
431233212301300
5433012132113
634514111440
75466632556
oct1557466160
9531784866
10230583408
11109181800
126527b580
1338a049b3
14228a3bd6
151539b023
hexdbe6c70

230583408 has 180 divisors, whose sum is σ = 696127320. Its totient is φ = 65640960.

The previous prime is 230583401. The next prime is 230583439. The reversal of 230583408 is 804385032.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230583401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6231966 + ... + 6232002.

It is an arithmetic number, because the mean of its divisors is an integer number (3867374).

Almost surely, 2230583408 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 230583408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348063660).

230583408 is an abundant number, since it is smaller than the sum of its proper divisors (465543912).

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

230583408 is a wasteful number, since it uses less digits than its factorization.

230583408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 230583408 is about 15184.9730984286. The cubic root of 230583408 is about 613.2101732332.

The spelling of 230583408 in words is "two hundred thirty million, five hundred eighty-three thousand, four hundred eight".