2227354800 has 480 divisors, whose sum is σ = 8369464320. Its totient is φ = 500659200.

The previous prime is 2227354783. The next prime is 2227354813. The reversal of 2227354800 is 84537222.

It is a super-2 number, since 2×2227354800² = 9922218810166080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20816347 + ... + 20816453.

It is an arithmetic number, because the mean of its divisors is an integer number (17436384).

Almost surely, 2^2227354800 is an apocalyptic number.

2227354800 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 2227354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184732160).

2227354800 is an abundant number, since it is smaller than the sum of its proper divisors (6142109520).

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

2227354800 is a wasteful number, since it uses less digits than its factorization.

2227354800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2227354800 is about 47194.8598896109. The cubic root of 2227354800 is about 1305.9597760329.

The spelling of 2227354800 in words is "two billion, two hundred twenty-seven million, three hundred fifty-four thousand, eight hundred".