226421395200 has 3888 divisors, whose sum is σ = 1210513459680. Its totient is φ = 40874803200.

The previous prime is 226421395181. The next prime is 226421395229. The reversal of 226421395200 is 2593124622.

226421395200 is a `hidden beast` number, since 2 + 2 + 64 + 2 + 1 + 395 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13318905592 + ... + 13318905608.

Almost surely, 2^226421395200 is an apocalyptic number.

226421395200 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 226421395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605256729840).

226421395200 is an abundant number, since it is smaller than the sum of its proper divisors (984092064480).

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

226421395200 is a wasteful number, since it uses less digits than its factorization.

226421395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 226421395200 in words is "two hundred twenty-six billion, four hundred twenty-one million, three hundred ninety-five thousand, two hundred".