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221144 = 23711359
BaseRepresentation
bin110101111111011000
3102020100112
4311333120
524034034
64423452
71610510
oct657730
9366315
10221144
11141170
12a7b88
1379871
145a840
15457ce
hex35fd8

221144 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 85920.

The previous prime is 221101. The next prime is 221159. The reversal of 221144 is 441122.

Adding to 221144 its reverse (441122), we get a palindrome (662266).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

221144 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 7 ways as a sum of consecutive naturals, for example, 437 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2221144 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 221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

221144 is an abundant number, since it is smaller than the sum of its proper divisors (297256).

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

221144 is a wasteful number, since it uses less digits than its factorization.

221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 221144 is about 470.2595028280. The cubic root of 221144 is about 60.4725645703.

The spelling of 221144 in words is "two hundred twenty-one thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 359 616 718 1436 2513 2872 3949 5026 7898 10052 15796 20104 27643 31592 55286 110572 221144