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22312421120 = 285111731297
BaseRepresentation
bin10100110001111011…
…001000011100000000
32010120222202102200102
4110301323020130000
5331143434433440
614130012341532
71416631310303
oct246173103400
963528672612
1022312421120
11950a864260
1243a84748a8
1321477ab662
141119468b3a
158a8c92b15
hex531ec8700

22312421120 has 432 divisors, whose sum is σ = 64446780384. Its totient is φ = 7313817600.

The previous prime is 22312421083. The next prime is 22312421123. The reversal of 22312421120 is 2112421322.

It is a super-3 number, since 3×223124211203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22312421092 and 22312421101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312421123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230024912 + ... + 230025008.

It is an arithmetic number, because the mean of its divisors is an integer number (149182362).

Almost surely, 222312421120 is an apocalyptic number.

22312421120 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 22312421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223390192).

22312421120 is an abundant number, since it is smaller than the sum of its proper divisors (42134359264).

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

22312421120 is a wasteful number, since it uses less digits than its factorization.

22312421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22312421120 its reverse (2112421322), we get a palindrome (24424842442).

The spelling of 22312421120 in words is "twenty-two billion, three hundred twelve million, four hundred twenty-one thousand, one hundred twenty".