Search a number
-
+
221124112 = 24112114217
BaseRepresentation
bin11010010111000…
…01011000010000
3120102002021020221
431023201120100
5423101432422
633535242424
75323344466
oct1513413020
9512067227
10221124112
11103900900
1262079414
1336a72291
1421520836
151462d3c7
hexd2e1610

221124112 has 30 divisors (see below), whose sum is σ = 470920814. Its totient is φ = 100510080.

The previous prime is 221124107. The next prime is 221124131. The reversal of 221124112 is 211421122.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 86192656 = 11616^2 + 9284^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55173 + ... + 59044.

Almost surely, 2221124112 is an apocalyptic number.

221124112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221124112 is an abundant number, since it is smaller than the sum of its proper divisors (249796702).

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

221124112 is a wasteful number, since it uses less digits than its factorization.

221124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114247 (or 114230 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 221124112 is about 14870.2424997039. The cubic root of 221124112 is about 604.7075170262.

Adding to 221124112 its reverse (211421122), we get a palindrome (432545234).

The spelling of 221124112 in words is "two hundred twenty-one million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 114217 228434 456868 913736 1256387 1827472 2512774 5025548 10051096 13820257 20102192 27640514 55281028 110562056 221124112