226334082240 has 672 divisors, whose sum is σ = 910546206336. Its totient is φ = 50536120320.

The previous prime is 226334082239. The next prime is 226334082253. The reversal of 226334082240 is 42280433622.

226334082240 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 3 + 408 + 2 + 240 = 666.

226334082240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 226334082195 and 226334082204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166299160 + ... + 166300520.

Almost surely, 2^226334082240 is an apocalyptic number.

226334082240 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 226334082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455273103168).

226334082240 is an abundant number, since it is smaller than the sum of its proper divisors (684212124096).

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

226334082240 is a wasteful number, since it uses less digits than its factorization.

226334082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 226334082240 in words is "two hundred twenty-six billion, three hundred thirty-four million, eighty-two thousand, two hundred forty".