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214552200 = 23352357587
BaseRepresentation
bin11001100100111…
…00111010001000
3112221201101021210
430302130322020
5414411132300
633142333120
75213443422
oct1462347210
9487641253
10214552200
11100122275
125ba2a1a0
13355b0b85
14206cd812
1513c81050
hexcc9ce88

214552200 has 48 divisors (see below), whose sum is σ = 665113680. Its totient is φ = 57213760.

The previous prime is 214552187. The next prime is 214552207. The reversal of 214552200 is 2255412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214552207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178194 + ... + 179393.

It is an arithmetic number, because the mean of its divisors is an integer number (13856535).

Almost surely, 2214552200 is an apocalyptic number.

214552200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214552200 is an abundant number, since it is smaller than the sum of its proper divisors (450561480).

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

214552200 is a wasteful number, since it uses less digits than its factorization.

214552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357606 (or 357597 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 214552200 is about 14647.6004860864. The cubic root of 214552200 is about 598.6564380925.

It can be divided in two parts, 2145 and 52200, that added together give a palindrome (54345).

The spelling of 214552200 in words is "two hundred fourteen million, five hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 357587 715174 1072761 1430348 1787935 2145522 2860696 3575870 4291044 5363805 7151740 8582088 8939675 10727610 14303480 17879350 21455220 26819025 35758700 42910440 53638050 71517400 107276100 214552200