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2221531034244 = 2231721871342373
BaseRepresentation
bin100000010100111101100…
…100010111001010000100
321212101011022120101212020
4200110331210113022010
5242344143421043434
64420320211523140
7316333416140454
oct40247544271204
97771138511766
102221531034244
11787167398765
122ba66a2b94b0
131316494c80a2
1479746317d64
153cbc17e7849
hex2053d917284

2221531034244 has 72 divisors (see below), whose sum is σ = 5509383804288. Its totient is φ = 696576376320.

The previous prime is 2221531034231. The next prime is 2221531034249. The reversal of 2221531034244 is 4424301351222.

It is a happy number.

It is a super-2 number, since 2×22215310342442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2221531034249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6317442 + ... + 6659814.

It is an arithmetic number, because the mean of its divisors is an integer number (76519219504).

Almost surely, 22221531034244 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 2221531034244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754691902144).

2221531034244 is an abundant number, since it is smaller than the sum of its proper divisors (3287852770044).

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

2221531034244 is a wasteful number, since it uses less digits than its factorization.

2221531034244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344285 (or 344266 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 2221531034244 its reverse (4424301351222), we get a palindrome (6645832385466).

The spelling of 2221531034244 in words is "two trillion, two hundred twenty-one billion, five hundred thirty-one million, thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 1871 3468 3742 5613 7484 11226 22452 31807 63614 95421 127228 190842 342373 381684 540719 684746 1027119 1081438 1369492 1622157 2054238 2162876 3244314 4108476 5820341 6488628 11640682 17461023 23281364 34922046 69844092 98945797 197891594 296837391 395783188 593674782 640579883 1187349564 1281159766 1921739649 2562319532 3843479298 7686958596 10889858011 21779716022 32669574033 43559432044 65339148066 130678296132 185127586187 370255172374 555382758561 740510344748 1110765517122 2221531034244