226974908160 has 1728 divisors, whose sum is σ = 1094953466880. Its totient is φ = 43535646720.

The previous prime is 226974908071. The next prime is 226974908183. The reversal of 226974908160 is 61809479622.

226974908160 is a `hidden beast` number, since 2 + 2 + 6 + 97 + 490 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 226974908097 and 226974908106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17459608314 + ... + 17459608326.

Almost surely, 2^226974908160 is an apocalyptic number.

226974908160 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 226974908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547476733440).

226974908160 is an abundant number, since it is smaller than the sum of its proper divisors (867978558720).

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

226974908160 is an frugal number, since it uses more digits than its factorization.

226974908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 226974908160 in words is "two hundred twenty-six billion, nine hundred seventy-four million, nine hundred eight thousand, one hundred sixty".