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214757056 = 26173683
BaseRepresentation
bin11001100110011…
…10111011000000
3112222002210022001
430303032323000
5414434211211
633150553344
75215255603
oct1463167300
9488083261
10214757056
11100252178
125bb08854
13356531a7
142074433a
1513cc1ac1
hexccceec0

214757056 has 56 divisors (see below), whose sum is σ = 453450960. Its totient is φ = 100914176.

The previous prime is 214757051. The next prime is 214757063. The reversal of 214757056 is 650757412.

214757056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147570562 = 92241186203574272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214757051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314091 + ... + 314773.

Almost surely, 2214757056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226725480).

214757056 is an abundant number, since it is smaller than the sum of its proper divisors (238693904).

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

214757056 is an frugal number, since it uses more digits than its factorization.

214757056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 214757056 is about 14654.5916353885. The cubic root of 214757056 is about 598.8469113230.

The spelling of 214757056 in words is "two hundred fourteen million, seven hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 683 1088 1156 1366 2312 2732 4624 4913 5464 9248 9826 10928 11611 18496 19652 21856 23222 39304 43712 46444 78608 92888 157216 185776 197387 314432 371552 394774 743104 789548 1579096 3158192 3355579 6316384 6711158 12632768 13422316 26844632 53689264 107378528 214757056