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214793304 = 23311821991
BaseRepresentation
bin11001100110101…
…11110001011000
3112222011122000120
430303113301120
5414441341204
633151433240
75215466355
oct1463276130
9488148016
10214793304
11100277430
125bb25820
133566683b
142075362c
1513ccc6d9
hexccd7c58

214793304 has 64 divisors (see below), whose sum is σ = 587105280. Its totient is φ = 64944000.

The previous prime is 214793291. The next prime is 214793311. The reversal of 214793304 is 403397412.

It is a super-2 number, since 2×2147933042 = 92272326886472832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216249 + ... + 217239.

It is an arithmetic number, because the mean of its divisors is an integer number (9173520).

Almost surely, 2214793304 is an apocalyptic number.

214793304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214793304 is an abundant number, since it is smaller than the sum of its proper divisors (372311976).

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

214793304 is a wasteful number, since it uses less digits than its factorization.

214793304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 214793304 is about 14655.8283286889. The cubic root of 214793304 is about 598.8806017670.

The spelling of 214793304 in words is "two hundred fourteen million, seven hundred ninety-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 821 991 1642 1982 2463 2973 3284 3964 4926 5946 6568 7928 9031 9852 10901 11892 18062 19704 21802 23784 27093 32703 36124 43604 54186 65406 72248 87208 108372 130812 216744 261624 813611 1627222 2440833 3254444 4881666 6508888 8949721 9763332 17899442 19526664 26849163 35798884 53698326 71597768 107396652 214793304