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22101213222 = 232111723319209
BaseRepresentation
bin10100100101010101…
…011100000000100110
32010001021022221220200
4110211111130000212
5330230402310342
614053025411330
71411455132654
oct244525340046
963037287820
1022101213222
119411616680
124349799b46
132112acba7a
1410d93a9dd4
1589547294c
hex52555c026

22101213222 has 192 divisors, whose sum is σ = 59585310720. Its totient is φ = 5834188800.

The previous prime is 22101213209. The next prime is 22101213257. The reversal of 22101213222 is 22231210122.

22101213222 is a `hidden beast` number, since 221 + 0 + 121 + 322 + 2 = 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 = 22101213195 and 22101213204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2395354 + ... + 2404562.

It is an arithmetic number, because the mean of its divisors is an integer number (310340160).

Almost surely, 222101213222 is an apocalyptic number.

22101213222 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 22101213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29792655360).

22101213222 is an abundant number, since it is smaller than the sum of its proper divisors (37484097498).

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

22101213222 is a wasteful number, since it uses less digits than its factorization.

22101213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9299 (or 9296 counting only the distinct ones).

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

Adding to 22101213222 its reverse (22231210122), we get a palindrome (44332423344).

The spelling of 22101213222 in words is "twenty-two billion, one hundred one million, two hundred thirteen thousand, two hundred twenty-two".