4223252000 has 192 divisors, whose sum is σ = 11539801728. Its totient is φ = 1505920000.

The previous prime is 4223251951. The next prime is 4223252003. The reversal of 4223252000 is 2523224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4223252003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2331095 + ... + 2332905.

It is an arithmetic number, because the mean of its divisors is an integer number (60103134).

Almost surely, 2^4223252000 is an apocalyptic number.

4223252000 is a gapful number since it is divisible by the number (40) 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 4223252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769900864).

4223252000 is an abundant number, since it is smaller than the sum of its proper divisors (7316549728).

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

4223252000 is a wasteful number, since it uses less digits than its factorization.

4223252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4223252000 is about 64986.5524551041. The cubic root of 4223252000 is about 1616.4005844488.

Adding to 4223252000 its reverse (2523224), we get a palindrome (4225775224).

The spelling of 4223252000 in words is "four billion, two hundred twenty-three million, two hundred fifty-two thousand".