226939392000 has 624 divisors, whose sum is σ = 866514357072. Its totient is φ = 56937676800.

The previous prime is 226939391969. The next prime is 226939392011. The reversal of 226939392000 is 293939622.

226939392000 is a `hidden beast` number, since 226 + 9 + 39 + 392 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89482346496 + 137457045504 = 299136^2 + 370752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78334552 + ... + 78337448.

It is an arithmetic number, because the mean of its divisors is an integer number (1388644803).

Almost surely, 2^226939392000 is an apocalyptic number.

226939392000 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 226939392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433257178536).

226939392000 is an abundant number, since it is smaller than the sum of its proper divisors (639574965072).

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

226939392000 is a wasteful number, since it uses less digits than its factorization.

226939392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 226939392000 in words is "two hundred twenty-six billion, nine hundred thirty-nine million, three hundred ninety-two thousand".