Search a number
-
+
233425000 = 23559337
BaseRepresentation
bin11011110100111…
…00100001101000
3121021020012220101
431322130201220
5434224100000
635055035144
75533036234
oct1572344150
9537205811
10233425000
1110a842726
126620bab4
133948b203
14230035c4
151575ce6a
hexde9c868

233425000 has 48 divisors (see below), whose sum is σ = 547113420. Its totient is φ = 93360000.

The previous prime is 233424991. The next prime is 233425001. The reversal of 233425000 is 524332.

233425000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1350244 + 232074756 = 1162^2 + 15234^2 .

It is not an unprimeable number, because it can be changed into a prime (233425001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20332 + ... + 29668.

Almost surely, 2233425000 is an apocalyptic number.

233425000 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 233425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273556710).

233425000 is an abundant number, since it is smaller than the sum of its proper divisors (313688420).

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

233425000 is an frugal number, since it uses more digits than its factorization.

233425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 233425000 is about 15278.2525178765. The cubic root of 233425000 is about 615.7188588890.

Adding to 233425000 its reverse (524332), we get a palindrome (233949332).

The spelling of 233425000 in words is "two hundred thirty-three million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 9337 12500 18674 25000 37348 46685 74696 93370 186740 233425 373480 466850 933700 1167125 1867400 2334250 4668500 5835625 9337000 11671250 23342500 29178125 46685000 58356250 116712500 233425000