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214223968 = 257956357
BaseRepresentation
bin11001100010011…
…00110001100000
3112221002201001001
430301030301200
5414320131333
633131321344
75210605450
oct1461146140
9487081031
10214223968
11aaa18702
125b8b0254
13354c765a
1420645d60
1513c18b7d
hexcc4cc60

214223968 has 24 divisors (see below), whose sum is σ = 482004432. Its totient is φ = 91810176.

The previous prime is 214223963. The next prime is 214224007. The reversal of 214223968 is 869322412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214223963) by changing a digit.

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, 477955 + ... + 478402.

It is an arithmetic number, because the mean of its divisors is an integer number (20083518).

Almost surely, 2214223968 is an apocalyptic number.

214223968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214223968 is an abundant number, since it is smaller than the sum of its proper divisors (267780464).

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

214223968 is an equidigital number, since it uses as much as digits as its factorization.

214223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956374 (or 956366 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 214223968 is about 14636.3919051110. The cubic root of 214223968 is about 598.3509980655.

The spelling of 214223968 in words is "two hundred fourteen million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 956357 1912714 3825428 6694499 7650856 13388998 15301712 26777996 30603424 53555992 107111984 214223968