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214929568 = 2576714321
BaseRepresentation
bin11001100111110…
…01000010100000
3112222102112221101
430303321002200
5420010221233
633154404144
75216604550
oct1463710240
9488375841
10214929568
1110035a847
125bb90654
13356b3879
142078b160
1513d07c7d
hexccf90a0

214929568 has 48 divisors (see below), whose sum is σ = 490843584. Its totient is φ = 90731520.

The previous prime is 214929511. The next prime is 214929569. The reversal of 214929568 is 865929412.

It is not an unprimeable number, because it can be changed into a prime (214929569) 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, 7848 + ... + 22168.

It is an arithmetic number, because the mean of its divisors is an integer number (10225908).

Almost surely, 2214929568 is an apocalyptic number.

214929568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214929568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245421792).

214929568 is an abundant number, since it is smaller than the sum of its proper divisors (275914016).

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

214929568 is a wasteful number, since it uses less digits than its factorization.

214929568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14405 (or 14397 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 214929568 is about 14660.4763906225. The cubic root of 214929568 is about 599.0072174700.

The spelling of 214929568 in words is "two hundred fourteen million, nine hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 14321 15008 28642 57284 100247 114568 200494 229136 400988 458272 801976 959507 1603952 1919014 3207904 3838028 6716549 7676056 13433098 15352112 26866196 30704224 53732392 107464784 214929568