22129800 has 192 divisors, whose sum is σ = 85708800. Its totient is φ = 4588800.

The previous prime is 22129799. The next prime is 22129817. The reversal of 22129800 is 892122.

22129800 = 265² + 266² + ... + 439².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45961 + ... + 46439.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^22129800 is an apocalyptic number.

22129800 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 22129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

22129800 is an abundant number, since it is smaller than the sum of its proper divisors (63579000).

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

22129800 is a wasteful number, since it uses less digits than its factorization.

22129800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 22129800 is about 4704.2321371293. The cubic root of 22129800 is about 280.7539205725.

The spelling of 22129800 in words is "twenty-two million, one hundred twenty-nine thousand, eight hundred".