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22240200204222 = 2371113293747101727
BaseRepresentation
bin1010000111010001100110…
…01110111001111110111110
32220202010211210101000011220
411003220303032321332332
510403340412223013342
6115145001255054210
74453541615412360
oct503506316717676
986663753330156
1022240200204222
1170a501a23a4a0
1225b2372071366
13c5431b545a60
1456c607bd2d30
152887ba6695ec
hex143a333b9fbe

22240200204222 has 1024 divisors, whose sum is σ = 65532714024960. Its totient is φ = 4847496192000.

The previous prime is 22240200204163. The next prime is 22240200204247.

22240200204222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22240200204192 and 22240200204201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30591746823 + ... + 30591747549.

It is an arithmetic number, because the mean of its divisors is an integer number (63996791040).

Almost surely, 222240200204222 is an apocalyptic number.

22240200204222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240200204222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32766357012480).

22240200204222 is an abundant number, since it is smaller than the sum of its proper divisors (43292513820738).

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

22240200204222 is a wasteful number, since it uses less digits than its factorization.

22240200204222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 22240200 and 204222, that added together give a palindrome (22444422).

The spelling of 22240200204222 in words is "twenty-two trillion, two hundred forty billion, two hundred million, two hundred four thousand, two hundred twenty-two".