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214642320 = 2435894343
BaseRepresentation
bin11001100101100…
…10111010010000
3112221212221220120
430302302322100
5414422023240
633144310240
75214300234
oct1462627220
9487787816
10214642320
11100183a52
125ba72380
1335612bb9
14207145c4
1513c9cad0
hexccb2e90

214642320 has 40 divisors (see below), whose sum is σ = 665391936. Its totient is φ = 57237888.

The previous prime is 214642313. The next prime is 214642327. The reversal of 214642320 is 23246412.

It is an interprime number because it is at equal distance from previous prime (214642313) and next prime (214642327).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214642327) 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 7 ways as a sum of consecutive naturals, for example, 446932 + ... + 447411.

Almost surely, 2214642320 is an apocalyptic number.

214642320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214642320 is an abundant number, since it is smaller than the sum of its proper divisors (450749616).

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

214642320 is a wasteful number, since it uses less digits than its factorization.

214642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894359 (or 894353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 214642320 is about 14650.6764348954. The cubic root of 214642320 is about 598.7402457721.

Adding to 214642320 its reverse (23246412), we get a palindrome (237888732).

The spelling of 214642320 in words is "two hundred fourteen million, six hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 894343 1788686 2683029 3577372 4471715 5366058 7154744 8943430 10732116 13415145 14309488 17886860 21464232 26830290 35773720 42928464 53660580 71547440 107321160 214642320