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214930464 = 2537245691
BaseRepresentation
bin11001100111110…
…01010000100000
3112222102121011120
430303321100200
5420010233324
633154412240
75216610300
oct1463712040
9488377146
10214930464
11100360491
125bb91080
13356b40b8
142078b600
1513d08179
hexccf9420

214930464 has 72 divisors (see below), whose sum is σ = 656319888. Its totient is φ = 61407360.

The previous prime is 214930453. The next prime is 214930477. The reversal of 214930464 is 464039412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18142 + ... + 27549.

It is an arithmetic number, because the mean of its divisors is an integer number (9115554).

Almost surely, 2214930464 is an apocalyptic number.

214930464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214930464 is an abundant number, since it is smaller than the sum of its proper divisors (441389424).

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

214930464 is a wasteful number, since it uses less digits than its factorization.

214930464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45718 (or 45703 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 214930464 is about 14660.5069489428. The cubic root of 214930464 is about 599.0080498508.

Adding to 214930464 its reverse (464039412), we get a palindrome (678969876).

The spelling of 214930464 in words is "two hundred fourteen million, nine hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 45691 91382 137073 182764 274146 319837 365528 548292 639674 731056 959511 1096584 1279348 1462112 1919022 2193168 2238859 2558696 3838044 4386336 4477718 5117392 6716577 7676088 8955436 10234784 13433154 15352176 17910872 26866308 30704352 35821744 53732616 71643488 107465232 214930464