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22301100000 = 25325571349
BaseRepresentation
bin10100110001001111…
…111100011111100000
32010120012110021000200
4110301033330133200
5331133040200000
614124525545200
71416433136154
oct246117743740
963505407020
1022301100000
119504431563
1243a4715200
13214534667a
141117b5d064
158a7ca8500
hex5313fc7e0

22301100000 has 432 divisors, whose sum is σ = 80615152800. Its totient is φ = 5846400000.

The previous prime is 22301099999. The next prime is 22301100047. The reversal of 22301100000 is 110322.

It is a happy number.

It is a super-2 number, since 2×223011000002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63899826 + ... + 63900174.

It is an arithmetic number, because the mean of its divisors is an integer number (186609150).

Almost surely, 222301100000 is an apocalyptic number.

22301100000 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 22301100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40307576400).

22301100000 is an abundant number, since it is smaller than the sum of its proper divisors (58314052800).

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

22301100000 is an equidigital number, since it uses as much as digits as its factorization.

22301100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 430 counting only the distinct ones).

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

Adding to 22301100000 its reverse (110322), we get a palindrome (22301210322).

The spelling of 22301100000 in words is "twenty-two billion, three hundred one million, one hundred thousand".