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22012212100 = 22522310987803
BaseRepresentation
bin10100100000000001…
…111011001110000100
32002211001212020022211
4110200001323032010
5330040111241400
614040130033204
71406324500324
oct244001731604
962731766284
1022012212100
11937635782a
124323a18804
1320ca539698
1410cb63d284
1588c741dba
hex52007b384

22012212100 has 72 divisors (see below), whose sum is σ = 50301155520. Its totient is φ = 8344702080.

The previous prime is 22012212073. The next prime is 22012212107. The reversal of 22012212100 is 121221022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22012212107) 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 23 ways as a sum of consecutive naturals, for example, 206799 + ... + 294601.

It is an arithmetic number, because the mean of its divisors is an integer number (698627160).

Almost surely, 222012212100 is an apocalyptic number.

22012212100 is a gapful number since it is divisible by the number (20) 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 22012212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25150577760).

22012212100 is an abundant number, since it is smaller than the sum of its proper divisors (28288943420).

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

22012212100 is a wasteful number, since it uses less digits than its factorization.

22012212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87949 (or 87942 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22012212100 its reverse (121221022), we get a palindrome (22133433122).

The spelling of 22012212100 in words is "twenty-two billion, twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 109 115 218 230 436 460 545 575 1090 1150 2180 2300 2507 2725 5014 5450 10028 10900 12535 25070 50140 62675 87803 125350 175606 250700 351212 439015 878030 1756060 2019469 2195075 4038938 4390150 8077876 8780300 9570527 10097345 19141054 20194690 38282108 40389380 47852635 50486725 95705270 100973450 191410540 201946900 220122121 239263175 440244242 478526350 880488484 957052700 1100610605 2201221210 4402442420 5503053025 11006106050 22012212100