226195840 has 128 divisors (see below), whose sum is σ = 601816320. Its totient is φ = 80732160.

The previous prime is 226195831. The next prime is 226195843. The reversal of 226195840 is 48591622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 226195840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226195843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257482 + ... + 258358.

It is an arithmetic number, because the mean of its divisors is an integer number (4701690).

Almost surely, 2^226195840 is an apocalyptic number.

226195840 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 226195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300908160).

226195840 is an abundant number, since it is smaller than the sum of its proper divisors (375620480).

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

226195840 is a wasteful number, since it uses less digits than its factorization.

226195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 226195840 is about 15039.8085094193. The cubic root of 226195840 is about 609.2958281187.

The spelling of 226195840 in words is "two hundred twenty-six million, one hundred ninety-five thousand, eight hundred forty".