226415148000 has 192 divisors, whose sum is σ = 744504022080. Its totient is φ = 60152064000.

The previous prime is 226415147999. The next prime is 226415148031. The reversal of 226415148000 is 841514622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192930 + ... + 3263070.

It is an arithmetic number, because the mean of its divisors is an integer number (3877625115).

Almost surely, 2^226415148000 is an apocalyptic number.

226415148000 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 226415148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372252011040).

226415148000 is an abundant number, since it is smaller than the sum of its proper divisors (518088874080).

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

226415148000 is a wasteful number, since it uses less digits than its factorization.

226415148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70438 (or 70420 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 226415148000 in words is "two hundred twenty-six billion, four hundred fifteen million, one hundred forty-eight thousand".