226102855680 has 720 divisors, whose sum is σ = 878102365140. Its totient is φ = 55621582848.

The previous prime is 226102855661. The next prime is 226102855687. The reversal of 226102855680 is 86558201622.

It is a happy number.

226102855680 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 0 + 2 + 85 + 568 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32192971776 + 193909883904 = 179424^2 + 440352^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×226102855680² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (226102855687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140174554 + ... + 140176166.

Almost surely, 2^226102855680 is an apocalyptic number.

226102855680 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 226102855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439051182570).

226102855680 is an abundant number, since it is smaller than the sum of its proper divisors (651999509460).

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

226102855680 is a wasteful number, since it uses less digits than its factorization.

226102855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 226102855680 in words is "two hundred twenty-six billion, one hundred two million, eight hundred fifty-five thousand, six hundred eighty".