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219144 = 23323397
BaseRepresentation
bin110101100000001000
3102010121110
4311200020
524003034
64410320
71601622
oct654010
9363543
10219144
1113a712
12a69a0
1378993
1459c12
1544de9
hex35808

219144 has 32 divisors (see below), whose sum is σ = 573120. Its totient is φ = 69696.

The previous prime is 219143. The next prime is 219169. The reversal of 219144 is 441912.

It is a self number, because there is not a number n which added to its sum of digits gives 219144.

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 219144.

It is not an unprimeable number, because it can be changed into a prime (219143) 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, 354 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (17910).

2219144 is an apocalyptic number.

219144 is a gapful number since it is divisible by the number (24) 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 219144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286560).

219144 is an abundant number, since it is smaller than the sum of its proper divisors (353976).

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

219144 is a wasteful number, since it uses less digits than its factorization.

219144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 219144 is about 468.1281875726. The cubic root of 219144 is about 60.2897099950.

It can be divided in two parts, 219 and 144, that added together give a palindrome (363).

The spelling of 219144 in words is "two hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 397 552 794 1191 1588 2382 3176 4764 9131 9528 18262 27393 36524 54786 73048 109572 219144