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221148 = 22326143
BaseRepresentation
bin110101111111011100
3102020100200
4311333130
524034043
64423500
71610514
oct657734
9366320
10221148
11141174
12a7b90
1379875
145a844
15457d3
hex35fdc

221148 has 18 divisors (see below), whose sum is σ = 559104. Its totient is φ = 73704.

The previous prime is 221101. The next prime is 221159. The reversal of 221148 is 841122.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 221148.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3036 + ... + 3107.

2221148 is an apocalyptic number.

It is an amenable number.

221148 is an abundant number, since it is smaller than the sum of its proper divisors (337956).

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

221148 is a wasteful number, since it uses less digits than its factorization.

221148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6148 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 221148 is about 470.2637557797. The cubic root of 221148 is about 60.4729291725.

It can be divided in two parts, 22114 and 8, that added together give a palindrome (22122).

The spelling of 221148 in words is "two hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6143 12286 18429 24572 36858 55287 73716 110574 221148