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22301010000 = 243254372181
BaseRepresentation
bin10100110001001111…
…100110100001010000
32010120012021200120100
4110301033212201100
5331133024310000
614124524012400
71416432312603
oct246117464120
963505250510
1022301010000
11950437a985
1243a4691100
132145314709
141117b3833a
158a7c8ba00
hex5313e6850

22301010000 has 450 divisors, whose sum is σ = 80597498982. Its totient is φ = 5754240000.

The previous prime is 22301009999. The next prime is 22301010001. The reversal of 22301010000 is 1010322.

Adding to 22301010000 its reverse (1010322), we get a palindrome (22302020322).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22301009999) and next prime (22301010001).

It can be written as a sum of positive squares in 15 ways, for example, as 21201689664 + 1099320336 = 145608^2 + 33156^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22301010001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 123209910 + ... + 123210090.

Almost surely, 222301010000 is an apocalyptic number.

22301010000 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 22301010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40298749491).

22301010000 is an abundant number, since it is smaller than the sum of its proper divisors (58296488982).

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

22301010000 is a wasteful number, since it uses less digits than its factorization.

22301010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The spelling of 22301010000 in words is "twenty-two billion, three hundred one million, ten thousand".