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22012330320 = 24325172378191
BaseRepresentation
bin10100100000000010…
…011000000101010000
32002211002002020111100
4110200002120011100
5330040124032240
614040132344400
71406325502101
oct244002300520
962732066440
1022012330320
119376428632
124323a75100
1320ca57b436
1410cb6703a8
1588c766e30
hex520098150

22012330320 has 240 divisors, whose sum is σ = 81677486592. Its totient is φ = 5284392960.

The previous prime is 22012330313. The next prime is 22012330367. The reversal of 22012330320 is 2303321022.

It is a happy number.

22012330320 is a `hidden beast` number, since 2 + 2 + 0 + 12 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220123303202 (a number of 21 digits) contains 22 as substring.

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 = 22012330293 and 22012330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242425 + ... + 320615.

Almost surely, 222012330320 is an apocalyptic number.

22012330320 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 22012330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40838743296).

22012330320 is an abundant number, since it is smaller than the sum of its proper divisors (59665156272).

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

22012330320 is a wasteful number, since it uses less digits than its factorization.

22012330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78250 (or 78241 counting only the distinct ones).

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

Adding to 22012330320 its reverse (2303321022), we get a palindrome (24315651342).

The spelling of 22012330320 in words is "twenty-two billion, twelve million, three hundred thirty thousand, three hundred twenty".