229959824640 has 576 divisors, whose sum is σ = 906692236800. Its totient is φ = 48370286592.

The previous prime is 229959824639. The next prime is 229959824641. The reversal of 229959824640 is 46428959922.

It is an interprime number because it is at equal distance from previous prime (229959824639) and next prime (229959824641).

It is a super-2 number, since 2×229959824640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229959824641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142920156 + ... + 142921764.

Almost surely, 2^229959824640 is an apocalyptic number.

229959824640 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 229959824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453346118400).

229959824640 is an abundant number, since it is smaller than the sum of its proper divisors (676732412160).

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

229959824640 is a wasteful number, since it uses less digits than its factorization.

229959824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 229959824640 in words is "two hundred twenty-nine billion, nine hundred fifty-nine million, eight hundred twenty-four thousand, six hundred forty".