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314024200 = 23527224303
BaseRepresentation
bin10010101101111…
…010000100001000
3210212220002012221
4102231322010020
51120342233300
651054343424
710532106310
oct2255720410
9725802187
10314024200
11151293036
12891bab74
135009b249
142d9c4440
151c87e31a
hex12b7a108

314024200 has 48 divisors (see below), whose sum is σ = 834410880. Its totient is φ = 107664960.

The previous prime is 314024197. The next prime is 314024201. The reversal of 314024200 is 2420413.

It is a super-2 number, since 2×3140242002 = 197222396371280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314024201) 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, 110752 + ... + 113551.

It is an arithmetic number, because the mean of its divisors is an integer number (17383560).

Almost surely, 2314024200 is an apocalyptic number.

It is an amenable number.

314024200 is an abundant number, since it is smaller than the sum of its proper divisors (520386680).

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

314024200 is a wasteful number, since it uses less digits than its factorization.

314024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224326 (or 224317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 314024200 is about 17720.7279760172. The cubic root of 314024200 is about 679.7058993478.

Adding to 314024200 its reverse (2420413), we get a palindrome (316444613).

The spelling of 314024200 in words is "three hundred fourteen million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 224303 448606 897212 1121515 1570121 1794424 2243030 3140242 4486060 5607575 6280484 7850605 8972120 11215150 12560968 15701210 22430300 31402420 39253025 44860600 62804840 78506050 157012100 314024200