226170947520 has 1008 divisors, whose sum is σ = 973921148928. Its totient is φ = 48932812800.

The previous prime is 226170947491. The next prime is 226170947521. The reversal of 226170947520 is 25749071622.

226170947520 is a `hidden beast` number, since 2 + 2 + 6 + 170 + 9 + 475 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226170947521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196498945 + ... + 196500095.

It is an arithmetic number, because the mean of its divisors is an integer number (966191616).

Almost surely, 2^226170947520 is an apocalyptic number.

226170947520 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 226170947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486960574464).

226170947520 is an abundant number, since it is smaller than the sum of its proper divisors (747750201408).

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

226170947520 is a wasteful number, since it uses less digits than its factorization.

226170947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 226170947520 in words is "two hundred twenty-six billion, one hundred seventy million, nine hundred forty-seven thousand, five hundred twenty".