226022400 has 330 divisors, whose sum is σ = 844612670. Its totient is φ = 59719680.

The previous prime is 226022399. The next prime is 226022417. The reversal of 226022400 is 4220622.

It is a happy number.

226022400 is a `hidden beast` number, since 2 + 260 + 2 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 199148544 = 5184^2 + 14112^2 .

It is a super-2 number, since 2×226022400² = 102172250603520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073546 + ... + 2073654.

Almost surely, 2^226022400 is an apocalyptic number.

226022400 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 226022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422306335).

226022400 is an abundant number, since it is smaller than the sum of its proper divisors (618590270).

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

226022400 is a wasteful number, since it uses less digits than its factorization.

226022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226022400 is about 15034.0413728312. The cubic root of 226022400 is about 609.1400585436.

The spelling of 226022400 in words is "two hundred twenty-six million, twenty-two thousand, four hundred".