Search a number
-
+
230547456 = 213325359
BaseRepresentation
bin11011011110111…
…10000000000000
3121001211000122200
431233132000000
5433010004311
634513233200
75466423006
oct1557360000
9531730580
10230547456
11109157797
1265262800
13389c1519
1422894a76
1515390556
hexdbde000

230547456 has 168 divisors, whose sum is σ = 690051960. Its totient is φ = 74121216.

The previous prime is 230547433. The next prime is 230547479. The reversal of 230547456 is 654745032.

It is an interprime number because it is at equal distance from previous prime (230547433) and next prime (230547479).

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 230547456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3907555 + ... + 3907613.

Almost surely, 2230547456 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 230547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345025980).

230547456 is an abundant number, since it is smaller than the sum of its proper divisors (459504504).

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

230547456 is an equidigital number, since it uses as much as digits as its factorization.

230547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 230547456 is about 15183.7892503815. The cubic root of 230547456 is about 613.1783015007.

The spelling of 230547456 in words is "two hundred thirty million, five hundred forty-seven thousand, four hundred fifty-six".