226297774080 has 1296 divisors, whose sum is σ = 979009733520. Its totient is φ = 49941577728.

The previous prime is 226297774037. The next prime is 226297774093. The reversal of 226297774080 is 80477792622.

It is a happy number.

226297774080 is a `hidden beast` number, since 2 + 2 + 629 + 7 + 7 + 7 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7803371506 + ... + 7803371534.

It is an arithmetic number, because the mean of its divisors is an integer number (755408745).

Almost surely, 2^226297774080 is an apocalyptic number.

226297774080 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 226297774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489504866760).

226297774080 is an abundant number, since it is smaller than the sum of its proper divisors (752711959440).

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

226297774080 is an frugal number, since it uses more digits than its factorization.

226297774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 226297774080 in words is "two hundred twenty-six billion, two hundred ninety-seven million, seven hundred seventy-four thousand, eighty".