22792900 has 72 divisors (see below), whose sum is σ = 54137160. Its totient is φ = 8279040.

The previous prime is 22792897. The next prime is 22792907. The reversal of 22792900 is 929722.

It can be written as a sum of positive squares in 12 ways, for example, as 6728836 + 16064064 = 2594^2 + 4008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22792907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115602 + ... + 115798.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 2^22792900 is an apocalyptic number.

22792900 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 22792900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27068580).

22792900 is an abundant number, since it is smaller than the sum of its proper divisors (31344260).

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

22792900 is a wasteful number, since it uses less digits than its factorization.

22792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 22792900 is about 4774.1910309496. The cubic root of 22792900 is about 283.5305508894.

The spelling of 22792900 in words is "twenty-two million, seven hundred ninety-two thousand, nine hundred".