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22212110002320 = 24325737743160313
BaseRepresentation
bin1010000110011101010001…
…11011010010100010010000
32220122110100010200220021200
411003032220323102202100
510402410400130033240
6115124034044351200
74451525535552120
oct503165073224220
986573303626250
1022212110002320
117094115033aa7
1225a8a32845500
13c51792a35204
1456b101282c80
15287bc4536930
hex1433a8ed2890

22212110002320 has 480 divisors, whose sum is σ = 87674695460352. Its totient is φ = 4933156773888.

The previous prime is 22212110002279. The next prime is 22212110002349. The reversal of 22212110002320 is 2320001121222.

22212110002320 is a `hidden beast` number, since 2 + 221 + 21 + 100 + 0 + 2 + 320 = 666.

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 = 22212110002293 and 22212110002302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138474484 + ... + 138634796.

Almost surely, 222212110002320 is an apocalyptic number.

22212110002320 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 22212110002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43837347730176).

22212110002320 is an abundant number, since it is smaller than the sum of its proper divisors (65462585458032).

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

22212110002320 is a wasteful number, since it uses less digits than its factorization.

22212110002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161119 (or 161110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22212110002320 its reverse (2320001121222), we get a palindrome (24532111123542).

The spelling of 22212110002320 in words is "twenty-two trillion, two hundred twelve billion, one hundred ten million, two thousand, three hundred twenty".