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2242321323100 = 22521710211291883
BaseRepresentation
bin100000101000010100110…
…001000001010001011100
321221100211020011111121121
4200220110301001101130
5243214233224314400
64434035211540324
7321000545523505
oct40502461012134
97840736144547
102242321323100
11794a65a25471
123026b0a5a6a4
131335b0835661
147a75955bbac
153d4dbb1d21a
hex20a14c4145c

2242321323100 has 72 divisors (see below), whose sum is σ = 5157113079888. Its totient is φ = 843340569600.

The previous prime is 2242321323019. The next prime is 2242321323163. The reversal of 2242321323100 is 13231232422.

It is a super-2 number, since 2×22423213231002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089759 + ... + 2381641.

It is an arithmetic number, because the mean of its divisors is an integer number (71626570554).

Almost surely, 22242321323100 is an apocalyptic number.

2242321323100 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 2242321323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578556539944).

2242321323100 is an abundant number, since it is smaller than the sum of its proper divisors (2914791756788).

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

2242321323100 is a wasteful number, since it uses less digits than its factorization.

2242321323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292935 (or 1292928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2242321323100 its reverse (13231232422), we get a palindrome (2255552555522).

The spelling of 2242321323100 in words is "two trillion, two hundred forty-two billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1021 1700 2042 4084 5105 10210 17357 20420 25525 34714 51050 69428 86785 102100 173570 347140 433925 867850 1291883 1735700 2583766 5167532 6459415 12918830 21962011 25837660 32297075 43924022 64594150 87848044 109810055 129188300 219620110 439240220 549050275 1098100550 1319012543 2196201100 2638025086 5276050172 6595062715 13190125430 22423213231 26380250860 32975313575 44846426462 65950627150 89692852924 112116066155 131901254300 224232132310 448464264620 560580330775 1121160661550 2242321323100