2255233104 has 100 divisors (see below), whose sum is σ = 6650658036. Its totient is φ = 737538048.

The previous prime is 2255233093. The next prime is 2255233109. The reversal of 2255233104 is 4013325522.

It is a happy number.

2255233104 is a `hidden beast` number, since 2 + 2 + 552 + 3 + 3 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1539777600 + 715455504 = 39240^2 + 26748^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255233109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52272 + ... + 85104.

Almost surely, 2^2255233104 is an apocalyptic number.

2255233104 is a gapful number since it is divisible by the number (24) 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 2255233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325329018).

2255233104 is an abundant number, since it is smaller than the sum of its proper divisors (4395424932).

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

2255233104 is a wasteful number, since it uses less digits than its factorization.

2255233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32906 (or 32891 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2255233104 is about 47489.2946252100. The cubic root of 2255233104 is about 1311.3858077266.

Adding to 2255233104 its reverse (4013325522), we get a palindrome (6268558626).

The spelling of 2255233104 in words is "two billion, two hundred fifty-five million, two hundred thirty-three thousand, one hundred four".