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214166720 = 265669271
BaseRepresentation
bin11001100001111…
…10110011000000
3112220222210111202
430300332303000
5414311313340
633130200332
75210246525
oct1460766300
9486883452
10214166720
11aa989699
125b8830a8
13354a7591
142062d14c
1513c06c15
hexcc3ecc0

214166720 has 28 divisors (see below), whose sum is σ = 509985264. Its totient is φ = 85666560.

The previous prime is 214166713. The next prime is 214166741. The reversal of 214166720 is 27661412.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 334316 + ... + 334955.

Almost surely, 2214166720 is an apocalyptic number.

214166720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214166720 is an abundant number, since it is smaller than the sum of its proper divisors (295818544).

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

214166720 is an equidigital number, since it uses as much as digits as its factorization.

214166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669288 (or 669278 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 214166720 is about 14634.4361011964. The cubic root of 214166720 is about 598.2976933395.

The spelling of 214166720 in words is "two hundred fourteen million, one hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 669271 1338542 2677084 3346355 5354168 6692710 10708336 13385420 21416672 26770840 42833344 53541680 107083360 214166720