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22002213211320 = 23351767717513019
BaseRepresentation
bin1010000000010110010100…
…00110100100110010111000
32212220101120001212010210110
411000023022012210302320
510340441013040230240
6114443402135544320
74430415232352046
oct500131206446270
985811501763713
1022002213211320
1170130a4841291
12257421482b0a0
13c37a52223bb4
14560caca27396
152824dc2dec80
hex1402ca1a4cb8

22002213211320 has 512 divisors, whose sum is σ = 72051196723200. Its totient is φ = 5354173440000.

The previous prime is 22002213211309. The next prime is 22002213211357. The reversal of 22002213211320 is 2311231220022.

It is a super-2 number, since 2×220022132113202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 7287912771 + ... + 7287915789.

It is an arithmetic number, because the mean of its divisors is an integer number (140724993600).

Almost surely, 222002213211320 is an apocalyptic number.

22002213211320 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 22002213211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36025598361600).

22002213211320 is an abundant number, since it is smaller than the sum of its proper divisors (50048983511880).

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

22002213211320 is a wasteful number, since it uses less digits than its factorization.

22002213211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22002213211320 its reverse (2311231220022), we get a palindrome (24313444431342).

The spelling of 22002213211320 in words is "twenty-two trillion, two billion, two hundred thirteen million, two hundred eleven thousand, three hundred twenty".