226892977920 has 1728 divisors, whose sum is σ = 1035874344960. Its totient is φ = 44590694400.

The previous prime is 226892977907. The next prime is 226892977921. The reversal of 226892977920 is 29779298622.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226892977921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 807448180 + ... + 807448460.

It is an arithmetic number, because the mean of its divisors is an integer number (599464320).

Almost surely, 2^226892977920 is an apocalyptic number.

226892977920 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 226892977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517937172480).

226892977920 is an abundant number, since it is smaller than the sum of its proper divisors (808981367040).

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

226892977920 is a wasteful number, since it uses less digits than its factorization.

226892977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 226892977920 in words is "two hundred twenty-six billion, eight hundred ninety-two million, nine hundred seventy-seven thousand, nine hundred twenty".