Search a number
-
+
230128400 = 24521394139
BaseRepresentation
bin11011011011101…
…11101100010000
3121001000201211002
431231313230100
5432403102100
634500241132
75463026165
oct1555675420
9531021732
10230128400
111089a0967
12650a01a8
13388a5868
14227c606c
151530b2d5
hexdb77b10

230128400 has 60 divisors (see below), whose sum is σ = 556995600. Its totient is φ = 91367040.

The previous prime is 230128391. The next prime is 230128429. The reversal of 230128400 is 4821032.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 53531 + ... + 57669.

It is an arithmetic number, because the mean of its divisors is an integer number (9283260).

Almost surely, 2230128400 is an apocalyptic number.

230128400 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 230128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278497800).

230128400 is an abundant number, since it is smaller than the sum of its proper divisors (326867200).

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

230128400 is a wasteful number, since it uses less digits than its factorization.

230128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 230128400 is about 15169.9835200965. The cubic root of 230128400 is about 612.8065604081.

Adding to 230128400 its reverse (4821032), we get a palindrome (234949432).

The spelling of 230128400 in words is "two hundred thirty million, one hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1390 2224 2780 3475 4139 5560 6950 8278 11120 13900 16556 20695 27800 33112 41390 55600 66224 82780 103475 165560 206950 331120 413900 575321 827800 1150642 1655600 2301284 2876605 4602568 5753210 9205136 11506420 14383025 23012840 28766050 46025680 57532100 115064200 230128400