226001427840 has 384 divisors, whose sum is σ = 818831520000. Its totient is φ = 57364070400.

The previous prime is 226001427803. The next prime is 226001427881. The reversal of 226001427840 is 48724100622.

226001427840 is a `hidden beast` number, since 2 + 2 + 600 + 1 + 4 + 2 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226001427795 and 226001427804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10881786 + ... + 10902534.

It is an arithmetic number, because the mean of its divisors is an integer number (2132373750).

Almost surely, 2^226001427840 is an apocalyptic number.

226001427840 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 226001427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409415760000).

226001427840 is an abundant number, since it is smaller than the sum of its proper divisors (592830092160).

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

226001427840 is a wasteful number, since it uses less digits than its factorization.

226001427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20866 (or 20851 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 226001427840 in words is "two hundred twenty-six billion, one million, four hundred twenty-seven thousand, eight hundred forty".