226629849600 has 1440 divisors, whose sum is σ = 1047229223040. Its totient is φ = 45416448000.

The previous prime is 226629849533. The next prime is 226629849613. The reversal of 226629849600 is 6948926622.

It is a happy number.

226629849600 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 29 + 8 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×226629849600² (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 257241160 + ... + 257242040.

It is an arithmetic number, because the mean of its divisors is an integer number (727242516).

Almost surely, 2^226629849600 is an apocalyptic number.

226629849600 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 226629849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523614611520).

226629849600 is an abundant number, since it is smaller than the sum of its proper divisors (820599373440).

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

226629849600 is a wasteful number, since it uses less digits than its factorization.

226629849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 226629849600 in words is "two hundred twenty-six billion, six hundred twenty-nine million, eight hundred forty-nine thousand, six hundred".