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22155540320420 = 22513292938400573
BaseRepresentation
bin1010000100110011111010…
…00111000101000010100100
32220110001022200212022022222
411002121331013011002210
510400444021310223140
6115042040440011512
74444453641313613
oct502317507050244
986401280768288
1022155540320420
117072125a0a781
122599a85760b98
13c49348b87860
1456849620d87a
152864b30295b5
hex14267d1c50a4

22155540320420 has 48 divisors (see below), whose sum is σ = 51833386125360. Its totient is φ = 7898420737536.

The previous prime is 22155540320383. The next prime is 22155540320429. The reversal of 22155540320420 is 2402304555122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 314442805504 + 21841097514916 = 560752^2 + 4673446^2 .

It is not an unprimeable number, because it can be changed into a prime (22155540320429) 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 15 ways as a sum of consecutive naturals, for example, 1469192747 + ... + 1469207826.

It is an arithmetic number, because the mean of its divisors is an integer number (1079862210945).

Almost surely, 222155540320420 is an apocalyptic number.

22155540320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22155540320420 is an abundant number, since it is smaller than the sum of its proper divisors (29677845804940).

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

22155540320420 is a wasteful number, since it uses less digits than its factorization.

22155540320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938400624 (or 2938400622 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 22155540320420 its reverse (2402304555122), we get a palindrome (24557844875542).

The spelling of 22155540320420 in words is "twenty-two trillion, one hundred fifty-five billion, five hundred forty million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 2938400573 5876801146 11753602292 14692002865 29384005730 38199207449 58768011460 76398414898 85213616617 152796829796 170427233234 190996037245 340854466468 381992074490 426068083085 763984148980 852136166170 1107777016021 1704272332340 2215554032042 4431108064084 5538885080105 11077770160210 22155540320420