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2221234224 = 243116416563
BaseRepresentation
bin1000010001100101…
…0101100000110000
312201210122101112020
42010121111200300
514022113443344
61004224431440
7106021115346
oct20431254060
95653571466
102221234224
11a3a913170
1251ba78580
132952577a1
14171007996
15d0013719
hex84655830

2221234224 has 80 divisors (see below), whose sum is σ = 6270562944. Its totient is φ = 671948800.

The previous prime is 2221234189. The next prime is 2221234247. The reversal of 2221234224 is 4224321222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2221234194 and 2221234203.

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 15 ways as a sum of consecutive naturals, for example, 335167 + ... + 341729.

Almost surely, 22221234224 is an apocalyptic number.

2221234224 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 2221234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135281472).

2221234224 is an abundant number, since it is smaller than the sum of its proper divisors (4049328720).

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

2221234224 is a wasteful number, since it uses less digits than its factorization.

2221234224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7220 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2221234224 is about 47129.9716104307. The cubic root of 2221234224 is about 1304.7624576081.

Adding to 2221234224 its reverse (4224321222), we get a palindrome (6445555446).

The spelling of 2221234224 in words is "two billion, two hundred twenty-one million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 641 1282 1923 2564 3846 5128 6563 7051 7692 10256 13126 14102 15384 19689 21153 26252 28204 30768 39378 42306 52504 56408 72193 78756 84612 105008 112816 144386 157512 169224 216579 288772 315024 338448 433158 577544 866316 1155088 1732632 3465264 4206883 8413766 12620649 16827532 25241298 33655064 46275713 50482596 67310128 92551426 100965192 138827139 185102852 201930384 277654278 370205704 555308556 740411408 1110617112 2221234224