10226346240 has 144 divisors (see below), whose sum is σ = 35629667136. Its totient is φ = 2479104000.

The previous prime is 10226346173. The next prime is 10226346271. The reversal of 10226346240 is 4264362201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10226346198 and 10226346207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78811 + ... + 163290.

It is an arithmetic number, because the mean of its divisors is an integer number (247428244).

Almost surely, 2^10226346240 is an apocalyptic number.

10226346240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226346240 is an abundant number, since it is smaller than the sum of its proper divisors (25403320896).

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

10226346240 is a wasteful number, since it uses less digits than its factorization.

10226346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242136 (or 242122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 10226346240 in words is "ten billion, two hundred twenty-six million, three hundred forty-six thousand, two hundred forty".