226299484800 has 1728 divisors, whose sum is σ = 954037375200. Its totient is φ = 52792197120.

The previous prime is 226299484757. The next prime is 226299484843. The reversal of 226299484800 is 8484992622.

226299484800 is a `hidden beast` number, since 2 + 2 + 629 + 9 + 4 + 8 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226299484757) and next prime (226299484843).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×226299484800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 215 ways as a sum of consecutive naturals, for example, 4269801574 + ... + 4269801626.

Almost surely, 2^226299484800 is an apocalyptic number.

226299484800 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 226299484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477018687600).

226299484800 is an abundant number, since it is smaller than the sum of its proper divisors (727737890400).

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

226299484800 is a wasteful number, since it uses less digits than its factorization.

226299484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 226299484800 in words is "two hundred twenty-six billion, two hundred ninety-nine million, four hundred eighty-four thousand, eight hundred".