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22241442500 = 225423093853
BaseRepresentation
bin10100101101101100…
…010111101011000100
32010102001012100022122
4110231230113223010
5331022302130000
614114555145112
71415110066454
oct245554275304
963361170278
1022241442500
119483794a42
124388745198
132135b89584
14110dc6dd64
158a2922085
hex52db17ac4

22241442500 has 60 divisors (see below), whose sum is σ = 48671279580. Its totient is φ = 8890416000.

The previous prime is 22241442493. The next prime is 22241442539. The reversal of 22241442500 is 524414222.

It can be written as a sum of positive squares in 10 ways, for example, as 5914225216 + 16327217284 = 76904^2 + 127778^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22241442500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5770574 + ... + 5774426.

It is an arithmetic number, because the mean of its divisors is an integer number (811187993).

Almost surely, 222241442500 is an apocalyptic number.

22241442500 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 22241442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335639790).

22241442500 is an abundant number, since it is smaller than the sum of its proper divisors (26429837080).

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

22241442500 is a wasteful number, since it uses less digits than its factorization.

22241442500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 22241442500 its reverse (524414222), we get a palindrome (22765856722).

The spelling of 22241442500 in words is "twenty-two billion, two hundred forty-one million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2309 2500 3853 4618 7706 9236 11545 15412 19265 23090 38530 46180 57725 77060 96325 115450 192650 230900 288625 385300 481625 577250 963250 1154500 1443125 1926500 2408125 2886250 4816250 5772500 8896577 9632500 17793154 35586308 44482885 88965770 177931540 222414425 444828850 889657700 1112072125 2224144250 4448288500 5560360625 11120721250 22241442500