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22112321220 = 22345111965309
BaseRepresentation
bin10100100101111111…
…110011111011000100
32010002001020022020000
4110211333303323010
5330241223234340
614054103441300
71411651425543
oct244577637304
963061208200
1022112321220
119417913240
124351456230
1321151baa52
1410daa5c15a
15896418d30
hex525ff3ec4

22112321220 has 240 divisors, whose sum is σ = 79657300800. Its totient is φ = 5078350080.

The previous prime is 22112321213. The next prime is 22112321227. The reversal of 22112321220 is 2212321122.

22112321220 is a `hidden beast` number, since 2 + 211 + 232 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22112321213) and next prime (22112321227).

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 = 22112321193 and 22112321202.

It is not an unprimeable number, because it can be changed into a prime (22112321227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305926 + ... + 371234.

It is an arithmetic number, because the mean of its divisors is an integer number (331905420).

Almost surely, 222112321220 is an apocalyptic number.

22112321220 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 22112321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39828650400).

22112321220 is an abundant number, since it is smaller than the sum of its proper divisors (57544979580).

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

22112321220 is a wasteful number, since it uses less digits than its factorization.

22112321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65360 (or 65349 counting only the distinct ones).

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

Adding to 22112321220 its reverse (2212321122), we get a palindrome (24324642342).

The spelling of 22112321220 in words is "twenty-two billion, one hundred twelve million, three hundred twenty-one thousand, two hundred twenty".