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234125200 = 2452585313
BaseRepresentation
bin11011111010001…
…11011110010000
3121022112210101201
431331013132100
5434414001300
635122040544
75542013521
oct1575073620
9538483351
10234125200
11110180801
12664a9154
1339674b2a
1423146848
151584a66a
hexdf47790

234125200 has 30 divisors (see below), whose sum is σ = 562486754. Its totient is φ = 93649920.

The previous prime is 234125197. The next prime is 234125231. The reversal of 234125200 is 2521432.

It can be written as a sum of positive squares in 3 ways, for example, as 2598544 + 231526656 = 1612^2 + 15216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292257 + ... + 293056.

Almost surely, 2234125200 is an apocalyptic number.

234125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234125200 is an abundant number, since it is smaller than the sum of its proper divisors (328361554).

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

234125200 is a wasteful number, since it uses less digits than its factorization.

234125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585331 (or 585320 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 234125200 is about 15301.1502835571. The cubic root of 234125200 is about 616.3338972407. Note that the first 3 decimals are identical.

Adding to 234125200 its reverse (2521432), we get a palindrome (236646632).

The spelling of 234125200 in words is "two hundred thirty-four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 585313 1170626 2341252 2926565 4682504 5853130 9365008 11706260 14632825 23412520 29265650 46825040 58531300 117062600 234125200