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211222242 = 23472114159
BaseRepresentation
bin11001001011011…
…11111011100010
3112201110012110000
430211233323202
5413033102432
632543120430
75143234200
oct1445577342
9481405400
10211222242
11a9258440
125a8a3116
13349b629a
14200a4070
151382457c
hexc96fee2

211222242 has 240 divisors, whose sum is σ = 625695840. Its totient is φ = 52617600.

The previous prime is 211222237. The next prime is 211222243. The reversal of 211222242 is 242222112.

It is a super-2 number, since 2×2112222422 = 89229671031013128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211222243) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3580009 + ... + 3580067.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2211222242 is an apocalyptic number.

211222242 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 211222242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312847920).

211222242 is an abundant number, since it is smaller than the sum of its proper divisors (414473598).

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

211222242 is a wasteful number, since it uses less digits than its factorization.

211222242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 211222242 is about 14533.4869181487. The cubic root of 211222242 is about 595.5431257590.

Adding to 211222242 its reverse (242222112), we get a palindrome (453444354).

The spelling of 211222242 in words is "two hundred eleven million, two hundred twenty-two thousand, two hundred forty-two".