2232456200 has 108 divisors (see below), whose sum is σ = 5642394165. Its totient is φ = 821084160.

The previous prime is 2232456197. The next prime is 2232456209. The reversal of 2232456200 is 26542322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 36409156 + 2196047044 = 6034^2 + 46862^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33410.

It is a super-3 number, since 3×2232456200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2232456200.

It is not an unprimeable number, because it can be changed into a prime (2232456209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8686472 + ... + 8686728.

Almost surely, 2^2232456200 is an apocalyptic number.

2232456200 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 2232456200

2232456200 is an abundant number, since it is smaller than the sum of its proper divisors (3409937965).

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

2232456200 is a wasteful number, since it uses less digits than its factorization.

2232456200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2232456200 is about 47248.8751188851. The cubic root of 2232456200 is about 1306.9560464985.

Adding to 2232456200 its reverse (26542322), we get a palindrome (2258998522).

The spelling of 2232456200 in words is "two billion, two hundred thirty-two million, four hundred fifty-six thousand, two hundred".