2022152000 has 168 divisors, whose sum is σ = 5507141640. Its totient is φ = 734976000.

The previous prime is 2022151951. The next prime is 2022152003. The reversal of 2022152000 is 2512202.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 2022121024 = 176^2 + 44968^2 .

It is a super-2 number, since 2×2022152000² = 8178197422208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022152003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966956 + ... + 969044.

It is an arithmetic number, because the mean of its divisors is an integer number (32780605).

Almost surely, 2^2022152000 is an apocalyptic number.

2022152000 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 2022152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753570820).

2022152000 is an abundant number, since it is smaller than the sum of its proper divisors (3484989640).

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

2022152000 is a wasteful number, since it uses less digits than its factorization.

2022152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2022152000 is about 44968.3444213816. The cubic root of 2022152000 is about 1264.5556095008. Note that the first 3 decimals are identical.

Adding to 2022152000 its reverse (2512202), we get a palindrome (2024664202).

The spelling of 2022152000 in words is "two billion, twenty-two million, one hundred fifty-two thousand".