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22032200113440 = 2535116136807121
BaseRepresentation
bin1010000001001110001010…
…11101100001110100100000
32220000020221220111121020220
411000213011131201310200
510341433421212112230
6114505241503203040
74432526312666466
oct500470535416440
986006856447226
1022032200113440
117024892649720
122579ba32a6480
13c3a82098136a
14562515422836
15283194bccd10
hex1409c5761d20

22032200113440 has 192 divisors, whose sum is σ = 75834170842752. Its totient is φ = 5332425523200.

The previous prime is 22032200113433. The next prime is 22032200113481. The reversal of 22032200113440 is 4431100223022.

It is a happy number.

It is a super-3 number, since 3×220322001134403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22032200113440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166921 + ... + 6640200.

It is an arithmetic number, because the mean of its divisors is an integer number (394969639806).

Almost surely, 222032200113440 is an apocalyptic number.

22032200113440 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 22032200113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37917085421376).

22032200113440 is an abundant number, since it is smaller than the sum of its proper divisors (53801970729312).

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

22032200113440 is a wasteful number, since it uses less digits than its factorization.

22032200113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807763 (or 6807755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22032200113440 its reverse (4431100223022), we get a palindrome (26463300336462).

The spelling of 22032200113440 in words is "twenty-two trillion, thirty-two billion, two hundred million, one hundred thirteen thousand, four hundred forty".