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22130140032 = 2733711136397
BaseRepresentation
bin10100100111000011…
…110010001110000000
32010010021202121001000
4110213003302032000
5330310303440112
614055541412000
71412256041460
oct244703621600
963107677030
1022130140032
119426983830
12435740a000
132118ab9420
1410dd179ba0
15897c887dc
hex5270f2380

22130140032 has 512 divisors, whose sum is σ = 87708902400. Its totient is φ = 5305098240.

The previous prime is 22130140007. The next prime is 22130140037. The reversal of 22130140032 is 23004103122.

It is a super-2 number, since 2×221301400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22130139987 and 22130140014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130140037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3456258 + ... + 3462654.

It is an arithmetic number, because the mean of its divisors is an integer number (171306450).

Almost surely, 222130140032 is an apocalyptic number.

22130140032 is a gapful number since it is divisible by the number (22) 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 22130140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43854451200).

22130140032 is an abundant number, since it is smaller than the sum of its proper divisors (65578762368).

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

22130140032 is a wasteful number, since it uses less digits than its factorization.

22130140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22130140032 its reverse (23004103122), we get a palindrome (45134243154).

The spelling of 22130140032 in words is "twenty-two billion, one hundred thirty million, one hundred forty thousand, thirty-two".