1823345700 has 144 divisors (see below), whose sum is σ = 6005615616. Its totient is φ = 422787200.

The previous prime is 1823345663. The next prime is 1823345701. The reversal of 1823345700 is 75433281.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1823345701) 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 47 ways as a sum of consecutive naturals, for example, 63889 + ... + 87911.

It is an arithmetic number, because the mean of its divisors is an integer number (41705664).

Almost surely, 2^1823345700 is an apocalyptic number.

1823345700 is a gapful number since it is divisible by the number (10) 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 1823345700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002807808).

1823345700 is an abundant number, since it is smaller than the sum of its proper divisors (4182269916).

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

1823345700 is a wasteful number, since it uses less digits than its factorization.

1823345700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24074 (or 24067 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1823345700 is about 42700.6522198432. The cubic root of 1823345700 is about 1221.6768351216.

Adding to 1823345700 its reverse (75433281), we get a palindrome (1898778981).

The spelling of 1823345700 in words is "one billion, eight hundred twenty-three million, three hundred forty-five thousand, seven hundred".