| Base | Representation |
|---|---|
| bin | 11010010111110… |
| … | …10101100000000 |
| 3 | 120102021112110100 |
| 4 | 31023322230000 |
| 5 | 423113242101 |
| 6 | 33541402400 |
| 7 | 5324255640 |
| oct | 1513725400 |
| 9 | 512245410 |
| 10 | 221227776 |
| 11 | 103971780 |
| 12 | 62109400 |
| 13 | 36aaa513 |
| 14 | 2154a520 |
| 15 | 1464de86 |
| hex | d2fab00 |
221227776 has 432 divisors, whose sum is σ = 841800960. Its totient is φ = 54190080.
The previous prime is 221227771. The next prime is 221227837. The reversal of 221227776 is 677722122.
221227776 = 3852 + 3862 + ... + 8962.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (32928) is a multiple of the sum of its prime factors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 221227776.
It is not an unprimeable number, because it can be changed into a prime (221227771) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 5144811 + ... + 5144853.
Almost surely, 2221227776 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 221227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420900480).
221227776 is an abundant number, since it is smaller than the sum of its proper divisors (620573184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221227776 is a wasteful number, since it uses less digits than its factorization.
221227776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 95 counting only the distinct ones).
The product of its digits is 32928, while the sum is 36.
The square root of 221227776 is about 14873.7277102951. The cubic root of 221227776 is about 604.8019988176.
Adding to 221227776 its reverse (677722122), we get a palindrome (898949898).
It can be divided in two parts, 22 and 1227776, that multiplied together give a palindrome (27011072).
The spelling of 221227776 in words is "two hundred twenty-one million, two hundred twenty-seven thousand, seven hundred seventy-six".
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