2232153200 has 120 divisors (see below), whose sum is σ = 5573876880. Its totient is φ = 858009600.

The previous prime is 2232153199. The next prime is 2232153211. The reversal of 2232153200 is 23512322.

It is a super-3 number, since 3×2232153200³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3908915 + ... + 3909485.

It is an arithmetic number, because the mean of its divisors is an integer number (46448974).

Almost surely, 2^2232153200 is an apocalyptic number.

2232153200 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 2232153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786938440).

2232153200 is an abundant number, since it is smaller than the sum of its proper divisors (3341723680).

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

2232153200 is a wasteful number, since it uses less digits than its factorization.

2232153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2232153200 is about 47245.6685845380. The cubic root of 2232153200 is about 1306.8969149764.

Adding to 2232153200 its reverse (23512322), we get a palindrome (2255665522).

The spelling of 2232153200 in words is "two billion, two hundred thirty-two million, one hundred fifty-three thousand, two hundred".