Search a number
53214 = 2372181
BaseRepresentation
bin1100111111011110
32200222220
430333132
53200324
61050210
7311100
oct147736
980886
1053214
1136a87
1226966
131b2b5
1415570
1510b79
hexcfde

53214 has 24 divisors (see below), whose sum is σ = 124488. Its totient is φ = 15120.

The previous prime is 53201. The next prime is 53231. The reversal of 53214 is 41235.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 53193 and 53202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53214.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

253214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244).

53214 is an abundant number, since it is smaller than the sum of its proper divisors (71274).

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

53214 is a wasteful number, since it uses less digits than its factorization.

53214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 53214 is about 230.6815987460. The cubic root of 53214 is about 37.6133459489.

Adding to 53214 its reverse (41235), we get a palindrome (94449).

The spelling of 53214 in words is "fifty-three thousand, two hundred fourteen".