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214354240 = 265669857
BaseRepresentation
bin11001100011011…
…00100101000000
3112221100022201221
430301230211000
5414333313430
633134204424
75211660322
oct1461544500
9487308657
10214354240
11aaaa7571
125b953714
1335541a39
142067b612
1513c4257a
hexcc6c940

214354240 has 28 divisors (see below), whose sum is σ = 510431796. Its totient is φ = 85741568.

The previous prime is 214354229. The next prime is 214354253. The reversal of 214354240 is 42453412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 71503936 = 11952^2 + 8456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334609 + ... + 335248.

It is an arithmetic number, because the mean of its divisors is an integer number (18229707).

Almost surely, 2214354240 is an apocalyptic number.

214354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214354240 is an abundant number, since it is smaller than the sum of its proper divisors (296077556).

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

214354240 is an equidigital number, since it uses as much as digits as its factorization.

214354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669874 (or 669864 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 214354240 is about 14640.8415058698. The cubic root of 214354240 is about 598.4722614747.

The spelling of 214354240 in words is "two hundred fourteen million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 669857 1339714 2679428 3349285 5358856 6698570 10717712 13397140 21435424 26794280 42870848 53588560 107177120 214354240