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212222112 = 25321110477
BaseRepresentation
bin11001010011001…
…00000010100000
3112210100000000020
430221210002200
5413312101422
633020353440
75154600234
oct1451440240
9483300006
10212222112
11a9880683
125b0a5880
1334c7641b
14202845c4
151397095c
hexca640a0

212222112 has 48 divisors (see below), whose sum is σ = 559776672. Its totient is φ = 70398720.

The previous prime is 212222099. The next prime is 212222113. The reversal of 212222112 is 211222212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212222091 and 212222100.

It is not an unprimeable number, because it can be changed into a prime (212222113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15018 + ... + 25494.

It is an arithmetic number, because the mean of its divisors is an integer number (11662014).

Almost surely, 2212222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279888336).

212222112 is an abundant number, since it is smaller than the sum of its proper divisors (347554560).

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

212222112 is a wasteful number, since it uses less digits than its factorization.

212222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10701 (or 10693 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 212222112 is about 14567.8451392098. The cubic root of 212222112 is about 596.4813611938.

Adding to 212222112 its reverse (211222212), we get a palindrome (423444324).

The spelling of 212222112 in words is "two hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 10477 20256 20954 31431 41908 62862 83816 125724 167632 251448 335264 502896 1005792 2210647 4421294 6631941 8842588 13263882 17685176 26527764 35370352 53055528 70740704 106111056 212222112