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2221244032 = 27767163227
BaseRepresentation
bin1000010001100101…
…0111111010000000
312201210122212222111
42010121113322000
514022114302112
61004224545104
7106021156060
oct20431277200
95653585874
102221244032
11a3a91a577
1251ba82194
1329525c0a7
1417100b3a0
15d00165a7
hex84657e80

2221244032 has 128 divisors (see below), whose sum is σ = 5187018240. Its totient is φ = 927894528.

The previous prime is 2221243993. The next prime is 2221244033. The reversal of 2221244032 is 2304421222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2221243994 and 2221244012.

It is not an unprimeable number, because it can be changed into a prime (2221244033) 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 15 ways as a sum of consecutive naturals, for example, 9785103 + ... + 9785329.

It is an arithmetic number, because the mean of its divisors is an integer number (40523580).

Almost surely, 22221244032 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 2221244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593509120).

2221244032 is an abundant number, since it is smaller than the sum of its proper divisors (2965774208).

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

2221244032 is a wasteful number, since it uses less digits than its factorization.

2221244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2221244032 is about 47130.0756629989. The cubic root of 2221244032 is about 1304.7643780256.

Adding to 2221244032 its reverse (2304421222), we get a palindrome (4525665254).

The spelling of 2221244032 in words is "two billion, two hundred twenty-one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 163 224 227 268 326 448 454 469 536 652 896 908 938 1072 1141 1304 1589 1816 1876 2144 2282 2608 3178 3632 3752 4288 4564 5216 6356 7264 7504 8576 9128 10432 10921 12712 14528 15008 15209 18256 20864 21842 25424 29056 30016 30418 36512 37001 43684 50848 60032 60836 73024 74002 76447 87368 101696 106463 121672 146048 148004 152894 174736 203392 212926 243344 259007 296008 305788 349472 425852 486688 518014 592016 611576 698944 851704 973376 1036028 1184032 1223152 1397888 1703408 1946752 2072056 2368064 2446304 2479067 3406816 4144112 4736128 4892608 4958134 6813632 8288224 9785216 9916268 13627264 16576448 17353469 19832536 33152896 34706938 39665072 69413876 79330144 138827752 158660288 277655504 317320576 555311008 1110622016 2221244032