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22030200320 = 295294367103
BaseRepresentation
bin10100100001000110…
…100010111000000000
32002212022201010112012
4110201012202320000
5330104212402240
614042011352052
71406633420162
oct244106427000
962768633465
1022030200320
119385523627
124329a52628
1321011971bb
1410cdba2932
1588e0e6b65
hex5211a2e00

22030200320 has 320 divisors, whose sum is σ = 57298475520. Its totient is φ = 8106835968.

The previous prime is 22030200317. The next prime is 22030200343. The reversal of 22030200320 is 2300203022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×220302003202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22030200295 and 22030200304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213885389 + ... + 213885491.

It is an arithmetic number, because the mean of its divisors is an integer number (179057736).

Almost surely, 222030200320 is an apocalyptic number.

22030200320 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 22030200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28649237760).

22030200320 is an abundant number, since it is smaller than the sum of its proper divisors (35268275200).

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

22030200320 is a wasteful number, since it uses less digits than its factorization.

22030200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 22030200320 its reverse (2300203022), we get a palindrome (24330403342).

The spelling of 22030200320 in words is "twenty-two billion, thirty million, two hundred thousand, three hundred twenty".