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214835008 = 263356797
BaseRepresentation
bin11001100111000…
…01111101000000
3112222020202020011
430303201331000
5414444210013
633152354304
75216032063
oct1463417500
9488222204
10214835008
111002a57a3
125bb45994
133567c80b
14207648da
1513cd9c3d
hexcce1f40

214835008 has 14 divisors (see below), whose sum is σ = 426313346. Its totient is φ = 107417472.

The previous prime is 214835003. The next prime is 214835011. The reversal of 214835008 is 800538412.

It can be written as a sum of positive squares in only one way, i.e., 119421184 + 95413824 = 10928^2 + 9768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214835003) 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 as a sum of consecutive naturals, namely, 1678335 + ... + 1678462.

Almost surely, 2214835008 is an apocalyptic number.

It is an amenable number.

214835008 is a deficient number, since it is larger than the sum of its proper divisors (211478338).

214835008 is an equidigital number, since it uses as much as digits as its factorization.

214835008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356809 (or 3356799 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 214835008 is about 14657.2510383087. The cubic root of 214835008 is about 598.9193585623.

The spelling of 214835008 in words is "two hundred fourteen million, eight hundred thirty-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 3356797 6713594 13427188 26854376 53708752 107417504 214835008