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214807312 = 2419706603
BaseRepresentation
bin11001100110110…
…11001100010000
3112222012100020101
430303123030100
5414442313222
633152022144
75215555246
oct1463331420
9488170211
10214807312
11100286a05
125bb31954
1335670025
1420758796
1513cd1927
hexccdb310

214807312 has 20 divisors (see below), whose sum is σ = 438094480. Its totient is φ = 101750688.

The previous prime is 214807309. The next prime is 214807319. The reversal of 214807312 is 213708412.

214807312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2148073122 = 92284362577330688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214807319) 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 3 ways as a sum of consecutive naturals, for example, 352998 + ... + 353605.

It is an arithmetic number, because the mean of its divisors is an integer number (21904724).

Almost surely, 2214807312 is an apocalyptic number.

It is an amenable number.

214807312 is an abundant number, since it is smaller than the sum of its proper divisors (223287168).

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

214807312 is a wasteful number, since it uses less digits than its factorization.

214807312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706630 (or 706624 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 214807312 is about 14656.3062195084. The cubic root of 214807312 is about 598.8936203868.

The spelling of 214807312 in words is "two hundred fourteen million, eight hundred seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 706603 1413206 2826412 5652824 11305648 13425457 26850914 53701828 107403656 214807312