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230211200 = 275271941
BaseRepresentation
bin11011011100010…
…11111010000000
3121001011221101202
431232023322000
5432413224300
634502120332
75463522452
oct1556137200
9531157352
10230211200
11108a4809a
12651200a8
133890445b
14228082d2
1515325ad5
hexdb8be80

230211200 has 48 divisors (see below), whose sum is σ = 568701510. Its totient is φ = 92083200.

The previous prime is 230211197. The next prime is 230211203. The reversal of 230211200 is 2112032.

It is a happy number.

230211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230211197) and next prime (230211203).

It can be written as a sum of positive squares in 3 ways, for example, as 130690624 + 99520576 = 11432^2 + 9976^2 .

It is not an unprimeable number, because it can be changed into a prime (230211203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32771 + ... + 39170.

Almost surely, 2230211200 is an apocalyptic number.

230211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230211200 is an abundant number, since it is smaller than the sum of its proper divisors (338490310).

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

230211200 is an equidigital number, since it uses as much as digits as its factorization.

230211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71965 (or 71948 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 230211200 is about 15172.7123481598. The cubic root of 230211200 is about 612.8800473527.

Adding to 230211200 its reverse (2112032), we get a palindrome (232323232).

The spelling of 230211200 in words is "two hundred thirty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 71941 143882 287764 359705 575528 719410 1151056 1438820 1798525 2302112 2877640 3597050 4604224 5755280 7194100 9208448 11510560 14388200 23021120 28776400 46042240 57552800 115105600 230211200