230226575040 has 1344 divisors, whose sum is σ = 1051475143680. Its totient is φ = 44789760000.

The previous prime is 230226575039. The next prime is 230226575057. The reversal of 230226575040 is 40575622032.

230226575040 is a `hidden beast` number, since 2 + 302 + 265 + 7 + 50 + 40 = 666.

230226575040 is digitally balanced in base 2, 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 (1344).

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 = 230226574986 and 230226575004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425557170 + ... + 425557710.

Almost surely, 2^230226575040 is an apocalyptic number.

230226575040 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 230226575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525737571840).

230226575040 is an abundant number, since it is smaller than the sum of its proper divisors (821248568640).

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

230226575040 is a wasteful number, since it uses less digits than its factorization.

230226575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 230226575040 in words is "two hundred thirty billion, two hundred twenty-six million, five hundred seventy-five thousand, forty".