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214462128 = 2434795063
BaseRepresentation
bin11001100100001…
…10111010110000
3112221112210201210
430302012322300
5414400242003
633140400120
75212620006
oct1462067260
9487483653
10214462128
11100070631
125b9a6040
133557bb8a
14206a8a76
1513c64503
hexcc86eb0

214462128 has 40 divisors (see below), whose sum is σ = 565820928. Its totient is φ = 69965632.

The previous prime is 214462121. The next prime is 214462141. The reversal of 214462128 is 821264412.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214462095 and 214462104.

It is not an unprimeable number, because it can be changed into a prime (214462121) 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, 45276 + ... + 49787.

Almost surely, 2214462128 is an apocalyptic number.

It is an amenable number.

214462128 is an abundant number, since it is smaller than the sum of its proper divisors (351358800).

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

214462128 is a wasteful number, since it uses less digits than its factorization.

214462128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95121 (or 95115 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 214462128 is about 14644.5255300402. The cubic root of 214462128 is about 598.5726515979.

The spelling of 214462128 in words is "two hundred fourteen million, four hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 95063 190126 285189 380252 570378 760504 1140756 1521008 2281512 4467961 4563024 8935922 13403883 17871844 26807766 35743688 53615532 71487376 107231064 214462128