22849200 has 180 divisors, whose sum is σ = 86651448. Its totient is φ = 5529600.

The previous prime is 22849199. The next prime is 22849213. The reversal of 22849200 is 294822.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39312 + ... + 39888.

Almost surely, 2^22849200 is an apocalyptic number.

22849200 is a gapful number since it is divisible by the number (20) 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 22849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43325724).

22849200 is an abundant number, since it is smaller than the sum of its proper divisors (63802248).

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

22849200 is a wasteful number, since it uses less digits than its factorization.

22849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22849200 is about 4780.0836812759. The cubic root of 22849200 is about 283.7638054698.

The spelling of 22849200 in words is "twenty-two million, eight hundred forty-nine thousand, two hundred".