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214896 = 24311237
BaseRepresentation
bin110100011101110000
3101220210010
4310131300
523334041
64334520
71553343
oct643560
9356703
10214896
11137500
12a4440
1376a76
145845a
1543a16
hex34770

214896 has 60 divisors (see below), whose sum is σ = 626696. Its totient is φ = 63360.

The previous prime is 214891. The next prime is 214913. The reversal of 214896 is 698412.

214896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214891) by changing a digit.

214896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5790 + ... + 5826.

2214896 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 214896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313348).

214896 is an abundant number, since it is smaller than the sum of its proper divisors (411800).

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

214896 is a wasteful number, since it uses less digits than its factorization.

214896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 214896 is about 463.5687651255. The cubic root of 214896 is about 59.8976031252.

It can be divided in two parts, 2 and 14896, that multiplied together give a palindrome (29792).

The spelling of 214896 in words is "two hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 121 132 148 176 222 242 264 296 363 407 444 484 528 592 726 814 888 968 1221 1452 1628 1776 1936 2442 2904 3256 4477 4884 5808 6512 8954 9768 13431 17908 19536 26862 35816 53724 71632 107448 214896