Search a number
-
+
230433280 = 2957211167
BaseRepresentation
bin11011011110000…
…10001000000000
3121001121020000221
431233002020000
5432442331110
634510552424
75465436100
oct1557021000
9531536027
10230433280
11109089a30
1265208714
133898156c
1422865200
151536b7da
hexdbc2200

230433280 has 240 divisors, whose sum is σ = 705329856. Its totient is φ = 71393280.

The previous prime is 230433271. The next prime is 230433289. The reversal of 230433280 is 82334032.

It is an interprime number because it is at equal distance from previous prime (230433271) and next prime (230433289).

It is not an unprimeable number, because it can be changed into a prime (230433289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379757 + ... + 1379923.

Almost surely, 2230433280 is an apocalyptic number.

230433280 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 230433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352664928).

230433280 is an abundant number, since it is smaller than the sum of its proper divisors (474896576).

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

230433280 is a wasteful number, since it uses less digits than its factorization.

230433280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 230433280 is about 15180.0289854796. The cubic root of 230433280 is about 613.0770615978.

The spelling of 230433280 in words is "two hundred thirty million, four hundred thirty-three thousand, two hundred eighty".