Search a number
-
+
230626200 = 233527431277
BaseRepresentation
bin11011011111100…
…01001110011000
3121001222000200010
431233301032120
5433020014300
634515041520
75500201410
oct1557611630
9531860603
10230626200
11109200972
12652a02a0
1338a1b30c
14228b5640
15153a8a50
hexdbf1398

230626200 has 192 divisors, whose sum is σ = 836732160. Its totient is φ = 51448320.

The previous prime is 230626181. The next prime is 230626213. The reversal of 230626200 is 2626032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179962 + ... + 181238.

It is an arithmetic number, because the mean of its divisors is an integer number (4357980).

Almost surely, 2230626200 is an apocalyptic number.

230626200 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 230626200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418366080).

230626200 is an abundant number, since it is smaller than the sum of its proper divisors (606105960).

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

230626200 is a wasteful number, since it uses less digits than its factorization.

230626200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 230626200 is about 15186.3820576199. The cubic root of 230626200 is about 613.2481043617.

The spelling of 230626200 in words is "two hundred thirty million, six hundred twenty-six thousand, two hundred".