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23222112 = 253713407
BaseRepresentation
bin101100010010…
…1011101100000
31121200210202020
41120211131200
521421101422
62145421440
7401245644
oct130453540
947623666
1023222112
1112121131
12793a880
134a70bc4
143126c24
15208a95c
hex1625760

23222112 has 48 divisors (see below), whose sum is σ = 61834752. Its totient is φ = 7629440.

The previous prime is 23222099. The next prime is 23222137. The reversal of 23222112 is 21122232.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23222091 and 23222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5113 + ... + 8519.

It is an arithmetic number, because the mean of its divisors is an integer number (1288224).

Almost surely, 223222112 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 23222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30917376).

23222112 is an abundant number, since it is smaller than the sum of its proper divisors (38612640).

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

23222112 is a wasteful number, since it uses less digits than its factorization.

23222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3483 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 23222112 is about 4818.9326619076. The cubic root of 23222112 is about 285.2992117659.

Adding to 23222112 its reverse (21122232), we get a palindrome (44344344).

The spelling of 23222112 in words is "twenty-three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3407 3408 6814 6816 10221 13628 20442 27256 40884 54512 81768 109024 163536 241897 327072 483794 725691 967588 1451382 1935176 2902764 3870352 5805528 7740704 11611056 23222112