229015693440 has 480 divisors, whose sum is σ = 830213633700. Its totient is φ = 60161605632.

The previous prime is 229015693429. The next prime is 229015693441. The reversal of 229015693440 is 44396510922.

229015693440 is a `hidden beast` number, since 2 + 290 + 15 + 6 + 9 + 344 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 122494400064 + 106521293376 = 349992^2 + 326376^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229015693441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 276254946 + ... + 276255774.

Almost surely, 2^229015693440 is an apocalyptic number.

229015693440 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 229015693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415106816850).

229015693440 is an abundant number, since it is smaller than the sum of its proper divisors (601197940260).

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

229015693440 is an frugal number, since it uses more digits than its factorization.

229015693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 229015693440 in words is "two hundred twenty-nine billion, fifteen million, six hundred ninety-three thousand, four hundred forty".