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214388608 = 277239273
BaseRepresentation
bin11001100011101…
…00111110000000
3112221102001212211
430301310332000
5414340413413
633135031504
75212162450
oct1461647600
9487361784
10214388608
11100020375
125b96b594
1335554585
1420689d60
1513c4c83d
hexcc74f80

214388608 has 32 divisors (see below), whose sum is σ = 488118960. Its totient is φ = 91880448.

The previous prime is 214388593. The next prime is 214388617. The reversal of 214388608 is 806883412.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 118741 + ... + 120532.

Almost surely, 2214388608 is an apocalyptic number.

214388608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214388608 is an abundant number, since it is smaller than the sum of its proper divisors (273730352).

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

214388608 is an equidigital number, since it uses as much as digits as its factorization.

214388608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239294 (or 239282 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 214388608 is about 14642.0151618553. The cubic root of 214388608 is about 598.5042446622.

The spelling of 214388608 in words is "two hundred fourteen million, three hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 239273 478546 957092 1674911 1914184 3349822 3828368 6699644 7656736 13399288 15313472 26798576 30626944 53597152 107194304 214388608