2226235600 has 60 divisors (see below), whose sum is σ = 5395972716. Its totient is φ = 882595840.

The previous prime is 2226235597. The next prime is 2226235621. The reversal of 2226235600 is 65326222.

It can be written as a sum of positive squares in 6 ways, for example, as 890186896 + 1336048704 = 29836^2 + 36552^2 .

It is a super-2 number, since 2×2226235600² = 9912249893414720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20574 + ... + 69826.

Almost surely, 2^2226235600 is an apocalyptic number.

2226235600 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 2226235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697986358).

2226235600 is an abundant number, since it is smaller than the sum of its proper divisors (3169737116).

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

2226235600 is a wasteful number, since it uses less digits than its factorization.

2226235600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49384 (or 49373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2226235600 is about 47183.0011762711. The cubic root of 2226235600 is about 1305.7410000716.

The spelling of 2226235600 in words is "two billion, two hundred twenty-six million, two hundred thirty-five thousand, six hundred".