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22304121312 = 253111710611171
BaseRepresentation
bin10100110001011011…
…011110000111100000
32010120102010202111010
4110301123132013200
5331134323340222
614125114420520
71416500621514
oct246133360740
963512122433
1022304121312
119506105510
1243a5731740
132145b63925
141118308144
158a81a380c
hex5316de1e0

22304121312 has 192 divisors, whose sum is σ = 67749550848. Its totient is φ = 6349824000.

The previous prime is 22304121181. The next prime is 22304121341. The reversal of 22304121312 is 21312140322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19046487 + ... + 19047657.

It is an arithmetic number, because the mean of its divisors is an integer number (352862244).

Almost surely, 222304121312 is an apocalyptic number.

22304121312 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 22304121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33874775424).

22304121312 is an abundant number, since it is smaller than the sum of its proper divisors (45445429536).

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

22304121312 is a wasteful number, since it uses less digits than its factorization.

22304121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22304121312 its reverse (21312140322), we get a palindrome (43616261634).

The spelling of 22304121312 in words is "twenty-two billion, three hundred four million, one hundred twenty-one thousand, three hundred twelve".