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214763856 = 24317263191
BaseRepresentation
bin11001100110100…
…00100101010000
3112222010010121220
430303100211100
5414434420411
633151045040
75215314456
oct1463204520
9488103556
10214763856
1110025729a
125bb10780
1335656308
14207469d6
1513cc3b06
hexccd0950

214763856 has 40 divisors (see below), whose sum is σ = 587444544. Its totient is φ = 67376640.

The previous prime is 214763851. The next prime is 214763881. The reversal of 214763856 is 658367412.

It is a super-2 number, since 2×2147638562 = 92247027687977472, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214763851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130780 + ... + 132411.

Almost surely, 2214763856 is an apocalyptic number.

It is an amenable number.

214763856 is an abundant number, since it is smaller than the sum of its proper divisors (372680688).

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

214763856 is a wasteful number, since it uses less digits than its factorization.

214763856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263219 (or 263213 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 214763856 is about 14654.8236427464. The cubic root of 214763856 is about 598.8532318232.

The spelling of 214763856 in words is "two hundred fourteen million, seven hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 263191 526382 789573 1052764 1579146 2105528 3158292 4211056 4474247 6316584 8948494 12633168 13422741 17896988 26845482 35793976 53690964 71587952 107381928 214763856