226488075840 has 336 divisors, whose sum is σ = 841375302768. Its totient is φ = 55589732352.

The previous prime is 226488075787. The next prime is 226488075887. The reversal of 226488075840 is 48570884622.

It can be written as a sum of positive squares in 8 ways, for example, as 86958932544 + 139529143296 = 294888^2 + 373536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13207752 + ... + 13224888.

It is an arithmetic number, because the mean of its divisors is an integer number (2504093163).

Almost surely, 2^226488075840 is an apocalyptic number.

226488075840 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 226488075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687651384).

226488075840 is an abundant number, since it is smaller than the sum of its proper divisors (614887226928).

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

226488075840 is a wasteful number, since it uses less digits than its factorization.

226488075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17526 (or 17513 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 226488075840 in words is "two hundred twenty-six billion, four hundred eighty-eight million, seventy-five thousand, eight hundred forty".