33222112 has 96 divisors (see below), whose sum is σ = 82978560. Its totient is φ = 12718080.

The previous prime is 33222103. The next prime is 33222121. The reversal of 33222112 is 21122233.

It is an interprime number because it is at equal distance from previous prime (33222103) and next prime (33222121).

It is a super-2 number, since 2×33222112² = 2207417451481088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238939 + ... + 239077.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 2^33222112 is an apocalyptic number.

33222112 is a gapful number since it is divisible by the number (32) 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 33222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41489280).

33222112 is an abundant number, since it is smaller than the sum of its proper divisors (49756448).

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

33222112 is a wasteful number, since it uses less digits than its factorization.

33222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 33222112 is about 5763.8625937821. The cubic root of 33222112 is about 321.4714526306.

Adding to 33222112 its reverse (21122233), we get a palindrome (54344345).

It can be divided in two parts, 332221 and 12, that added together give a palindrome (332233).

The spelling of 33222112 in words is "thirty-three million, two hundred twenty-two thousand, one hundred twelve".