22301000 has 64 divisors (see below), whose sum is σ = 54054000. Its totient is φ = 8601600.

The previous prime is 22300963. The next prime is 22301009. The reversal of 22301000 is 10322.

It can be written as a sum of positive squares in 8 ways, for example, as 417316 + 21883684 = 646^2 + 4678^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22301009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28616 + ... + 29384.

Almost surely, 2^22301000 is an apocalyptic number.

22301000 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 22301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27027000).

22301000 is an abundant number, since it is smaller than the sum of its proper divisors (31753000).

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

22301000 is a wasteful number, since it uses less digits than its factorization.

22301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 22301000 is about 4722.3934609475. The cubic root of 22301000 is about 281.4760487221.

Adding to 22301000 its reverse (10322), we get a palindrome (22311322).

The spelling of 22301000 in words is "twenty-two million, three hundred one thousand".