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22303201320 = 233254115110007
BaseRepresentation
bin10100110001010111…
…111101100000101000
32010120100102000111100
4110301113331200220
5331134104420240
614125043001400
71416460040361
oct246127754050
963510360440
1022303201320
119505637294
1243a5369260
132145900c5a
141118148b68
158a8070e30
hex5315fd828

22303201320 has 192 divisors, whose sum is σ = 74752554240. Its totient is φ = 5763456000.

The previous prime is 22303201309. The next prime is 22303201337. The reversal of 22303201320 is 2310230322.

It is a happy number.

22303201320 is a `hidden beast` number, since 2 + 23 + 0 + 320 + 1 + 320 = 666.

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 = 22303201293 and 22303201302.

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 47 ways as a sum of consecutive naturals, for example, 2223757 + ... + 2233763.

It is an arithmetic number, because the mean of its divisors is an integer number (389336220).

Almost surely, 222303201320 is an apocalyptic number.

22303201320 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 22303201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37376277120).

22303201320 is an abundant number, since it is smaller than the sum of its proper divisors (52449352920).

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

22303201320 is a wasteful number, since it uses less digits than its factorization.

22303201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22303201320 its reverse (2310230322), we get a palindrome (24613431642).

The spelling of 22303201320 in words is "twenty-two billion, three hundred three million, two hundred one thousand, three hundred twenty".