Search a number
-
+
230961780 = 2236573173
BaseRepresentation
bin11011100010000…
…11001001110100
3121002121002000000
431301003021310
5433111234110
634530151300
75503066650
oct1561031164
9532532000
10230961780
11109410005
1265422530
1338b07c9a
1422961a60
15154231c0
hexdc43274

230961780 has 336 divisors, whose sum is σ = 869643264. Its totient is φ = 50388480.

The previous prime is 230961763. The next prime is 230961781. The reversal of 230961780 is 87169032.

230961780 is a `hidden beast` number, since 2 + 30 + 9 + 617 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230961781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3163824 + ... + 3163896.

It is an arithmetic number, because the mean of its divisors is an integer number (2588224).

Almost surely, 2230961780 is an apocalyptic number.

230961780 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 230961780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434821632).

230961780 is an abundant number, since it is smaller than the sum of its proper divisors (638681484).

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

230961780 is a wasteful number, since it uses less digits than its factorization.

230961780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 230961780 is about 15197.4267558689. The cubic root of 230961780 is about 613.5454022747.

The spelling of 230961780 in words is "two hundred thirty million, nine hundred sixty-one thousand, seven hundred eighty".