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22222002000224 = 251325377530151
BaseRepresentation
bin1010000110101111101101…
…00010010001000101100000
32220200101212112020110101102
411003113312202101011200
510403041130003001344
6115132351412253532
74452325632263135
oct503276642210540
986611775213342
1022222002000224
117098330891484
1225aa9336112a8
13c526ab239800
1456b79cd3058c
152880a2bade4e
hex1435f6891160

22222002000224 has 72 divisors (see below), whose sum is σ = 48267636610032. Its totient is φ = 10062793228800.

The previous prime is 22222002000223. The next prime is 22222002000227. The reversal of 22222002000224 is 42200020022222.

It is a junction number, because it is equal to n+sod(n) for n = 22222002000196 and 22222002000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222002000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38478452 + ... + 39051699.

It is an arithmetic number, because the mean of its divisors is an integer number (670383841806).

Almost surely, 222222002000224 is an apocalyptic number.

It is an amenable number.

22222002000224 is an abundant number, since it is smaller than the sum of its proper divisors (26045634609808).

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

22222002000224 is a wasteful number, since it uses less digits than its factorization.

22222002000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77530240 (or 77530219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22222002000224 its reverse (42200020022222), we get a palindrome (64422022022446).

The spelling of 22222002000224 in words is "twenty-two trillion, two hundred twenty-two billion, two million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 338 416 424 676 689 848 1352 1378 1696 2704 2756 5408 5512 8957 11024 17914 22048 35828 71656 143312 286624 77530151 155060302 310120604 620241208 1007891963 1240482416 2015783926 2480964832 4031567852 4109098003 8063135704 8218196006 13102595519 16126271408 16436392012 26205191038 32252542816 32872784024 52410382076 53418274039 65745568048 104820764152 106836548078 131491136096 209641528304 213673096156 419283056608 427346192312 694437562507 854692384624 1388875125014 1709384769248 2777750250028 5555500500056 11111001000112 22222002000224