22401000 has 192 divisors, whose sum is σ = 80308800. Its totient is φ = 5616000.

The previous prime is 22400971. The next prime is 22401017. The reversal of 22401000 is 10422.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 170935 + ... + 171065.

It is an arithmetic number, because the mean of its divisors is an integer number (418275).

Almost surely, 2^22401000 is an apocalyptic number.

22401000 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 22401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40154400).

22401000 is an abundant number, since it is smaller than the sum of its proper divisors (57907800).

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

22401000 is a wasteful number, since it uses less digits than its factorization.

22401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22401000 is about 4732.9694695825. The cubic root of 22401000 is about 281.8961440408.

Adding to 22401000 its reverse (10422), we get a palindrome (22411422).

It can be divided in two parts, 2240 and 1000, that added together give a triangular number (3240 = T₈₀).

The spelling of 22401000 in words is "twenty-two million, four hundred one thousand".